Edit Profile (opens in new tab) Van Assche, Walter Compute Distance To: Compute Author ID: van-assche.walter Published as: Van Assche, Walter; Van Assche, W.; van Assche, Walter; van Assche, W.; Assche, Walter Van; Assche, W. more...less Homepage: https://www.kuleuven.be/wieiswie/en/person/00002417 External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · IdRef Documents Indexed: 167 Publications since 1982, including 2 Books 12 Contributions as Editor · 5 Further Contributions Reviewing Activity: 167 Reviews Co-Authors: 106 Co-Authors with 139 Joint Publications 2,355 Co-Co-Authors all top 5 Co-Authors 43 single-authored 12 Aptekarev, Alexander Ivanovich 12 Geronimo, Jeffrey S. 12 Kuijlaars, Arno B. J. 10 Filipuk, Galina V. 8 Coussement, Jonathan 7 Nevai, Paul G. 5 Boelen, Lies 5 Coussement, Els 5 Dehesa, Jesús S. 5 Ismail, Mourad El-Houssieny 5 Marcellán Español, Francisco 5 Smet, Christophe 4 Yáñez, Rafael J. 4 Zhang, Lun 3 Derevyagin, Maxim S. 3 Koelink, Erik 3 Martínez-Finkelshtein, Andrei 3 Ndayiragije, François 3 Wielonsky, Franck 2 Bultheel, Adhemar François 2 Buyarov, V. S. 2 Daruis, Leyla 2 Delbeke, Lieve 2 Golinskii, Leonid Borisovich 2 González-Férez, Rosario 2 Haneczok, Maciej 2 Koornwinder, Tom H. 2 Lenin, R. B. 2 Leurs, Marjolein 2 López Lagomasino, Guillermo Tomás 2 Loureiro, Ana Filipa 2 Njåstad, Olav 2 Parthasarathy, Panamalai Ramarao 2 Postelmans, Kelly 2 Ranga, A. Sri 2 Schoutens, Wim 2 Sinap, Ann 2 Stahl, Herbert Robert 2 Teugels, Jozef L. 2 Van Barel, Marc 2 Vanden Berghe, Guido 1 Alfaro García, Manuel 1 Alsulami, Saud Mastour A. 1 Álvarez-Nodarse, Renato 1 Arvesú, Jorge 1 Askey, Richard Allen 1 Beckermann, Bernhard 1 Beirlant, Jan 1 Bessis, Daniel 1 Beukers, Frits 1 Branquinho, Amílcar José Pinto Lopes 1 Brezinski, Claude 1 Bruno, Oscar P. 1 Carbonez, An 1 Chen, Yang 1 Clarkson, Peter A. 1 Cushing, Jim M. 1 Cuyt, Annie A. M. 1 de Andrade, Eliana X. L. 1 Dimitrov, Dimitar K. 1 Dominici, Diego Ernesto 1 Dresse, Zoé 1 Durán, Antonio José 1 Elaydi, Saber Nasr 1 Fano, Guido 1 Foupouagnigni, Mama 1 Gautschi, Walter 1 Gawronski, Wolfgang 1 González-Vera, Pablo 1 Goossens, Marcel 1 Harrell, Evans M. II 1 Iliev, Plamen 1 Jones, William Branham 1 Kaliaguine, Valeri A. 1 Kanemitsu, Shigeru 1 Korevaar, Jacob 1 Koutschan, Christoph 1 Lasser, Rupert 1 Levrie, Paul 1 López-Artés, P. 1 Lubinsky, Doron S. 1 Luxemburg, Wilhelmus Anthonius Josephus 1 Maejima, Makoto 1 Magnus, Alphonse Ph. 1 Máté, Attila 1 McLaughlin, Kenneth D. T.-R. 1 Miki, Hiroshi 1 Milovanović, Gradimir V. 1 Mínguez Ceniceros, Judit 1 Monegato, Giovanni 1 Neuschel, Thorsten 1 Nuwacu, Jean Paul 1 Ortolani, Fabio 1 Papageorgiou, Vassilios G. 1 Pintér, Ferenc 1 Reichel, Lothar 1 Ronveaux, André 1 Ruffing, Andreas 1 Sameh, Ahmed H. 1 Smith, Dale T. ...and 18 more Co-Authors all top 5 Serials 31 Journal of Approximation Theory 21 Journal of Computational and Applied Mathematics 11 Constructive Approximation 9 Proceedings of the American Mathematical Society 5 Journal of Physics A: Mathematical and Theoretical 4 Journal of Mathematical Analysis and Applications 4 Rocky Mountain Journal of Mathematics 4 Transactions of the American Mathematical Society 4 Journal of Physics A: Mathematical and General 4 SIAM Journal on Mathematical Analysis 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Mathematical Physics 3 Journal of Difference Equations and Applications 3 Lecture Notes in Mathematics 2 Inverse Problems 2 Linear Algebra and its Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 Methods and Applications of Analysis 2 Integral Transforms and Special Functions 2 Analysis and Applications (Singapore) 2 Encyclopedia of Mathematics and Its Applications 1 Astronomy and Astrophysics 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Mathematics of Computation 1 Acta Arithmetica 1 Advances in Mathematics 1 Journal of Applied Probability 1 Journal of Number Theory 1 The Mathematical Scientist 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Sankhyā. Series A. Methods and Techniques 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Advances in Applied Mathematics 1 Physica D 1 Sequential Analysis 1 Numerical Algorithms 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Sbornik: Mathematics 1 Doklady Mathematics 1 The Ramanujan Journal 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 IMRP. International Mathematics Research Papers 1 Surveys in Approximation Theory (SAT) 1 Australian Mathematical Society Lecture Series 1 Jaen Journal on Approximation 1 Contemporary Mathematicians all top 5 Fields 113 Special functions (33-XX) 110 Harmonic analysis on Euclidean spaces (42-XX) 41 Approximations and expansions (41-XX) 20 Functions of a complex variable (30-XX) 20 Difference and functional equations (39-XX) 14 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 12 Operator theory (47-XX) 11 General and overarching topics; collections (00-XX) 11 Number theory (11-XX) 9 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 History and biography (01-XX) 7 Potential theory (31-XX) 7 Partial differential equations (35-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Statistics (62-XX) 6 Quantum theory (81-XX) 5 Real functions (26-XX) 5 Sequences, series, summability (40-XX) 2 Mechanics of deformable solids (74-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 156 Publications have been cited 2,603 times in 1,250 Documents Cited by ▼ Year ▼ Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Zbl 1082.42016Ismail, Mourad E. H. 285 2005 The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Zbl 1082.42017Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M. 115 2004 Orthogonal matrix polynomials and higher-order recurrence relations. Zbl 0827.15027Durán, A. J.; Van Assche, Walter 90 1995 Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Paperback reprint of the 2005 original. Zbl 1172.42008Ismail, Mourad E. H. 89 2009 Multiple orthogonal polynomials for classical weights. Zbl 1033.33002Aptekarev, A. I.; Branquinho, A.; Van Assche, W. 79 2003 Some classical multiple orthogonal polynomials. Zbl 0969.33005Van Assche, Walter; Coussement, Els 73 2001 Asymptotics for orthogonal polynomials. Zbl 0617.42014Van Assche, Walter 71 1987 Orthogonal polynomials on several intervals via a polynomial mapping. Zbl 0652.42009Geronimo, J. S.; Van Assche, Walter 61 1988 Riemann-Hilbert problems for multiple orthogonal polynomials. Zbl 0997.42012Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J. 59 2001 The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. Zbl 0967.33009Kuijlaars, A. B. J.; Van Assche, W. 56 1999 Orthogonal matrix polynomials and applications. Zbl 0863.42018Sinap, Ann; Van Assche, Walter 55 1996 Orthogonal polynomials with asymptotically periodic recurrent coefficients. Zbl 0604.42023Geronimo, J. S.; Van Assche, Walter 52 1986 Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0840.42017López, G.; Marcellán, F.; Van Assche, Walter 47 1995 Some discrete multiple orthogonal polynomials. Zbl 1021.33006Arvesú, J.; Coussement, J.; Van Assche, W. 44 2003 Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016Van Assche, W.; Yakubovich, S. B. 39 2000 Orthogonal polynomials, associated polynomials and functions of the second kind. Zbl 0744.42012Van Assche, Walter 30 1991 Polynomial interpolation and Gaussian quadrature for matrix-valued functions. Zbl 0810.41028Sinap, Ann; Van Assche, Walter 30 1994 Nearest neighbor recurrence relations for multiple orthogonal polynomials. Zbl 1231.33014Van Assche, Walter 29 2011 Relative asymptotics for orthogonal polynomials with a Sobolev inner product. Zbl 0771.42014Marcellán, Francisco; Van Assche, Walter 28 1993 Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials. Zbl 1128.39013Van Assche, Walter 28 2007 Orthogonal polynomials in the complex plane and on the real line. Zbl 0882.42013Van Assche, Walter 27 1997 Orthogonal polynomials and Painlevé equations. Zbl 1387.33001Van Assche, Walter 27 2018 Quadrature formulas based on rational interpolation. Zbl 0791.65011Van Assche, Walter; Vanherwegen, Ingrid 26 1993 The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. Zbl 1253.33012Filipuk, Galina; Van Assche, Walter; Zhang, Lun 26 2012 Multiple orthogonal polynomials, irrationality and transcendence. Zbl 0952.42014Van Assche, Walter 25 1999 Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. Zbl 1061.30035Aptekarev, A. I.; Van Assche, W. 25 2004 Upward extension of the Jacobi matrix for orthogonal polynomials. Zbl 0858.42015Ronveaux, André; Van Assche, Walter 24 1996 The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators. Zbl 0731.42021Máté, Attila; Nevai, Paul; Van Assche, Walter 24 1991 Perturbation of orthogonal polynomials on an arc of the unit circle. Zbl 0842.42013Golinskij, Leonid; Nevai, Paul; Van Assche, Walter 23 1995 Criterion for the resolvent set of nonsymmetric tridiagonal operators. Zbl 0824.47017Aptekarev, A. I.; Kaliaguine, V.; Van Assche, Walter 21 1995 Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). Zbl 1156.41004Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter 21 2008 Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials. Zbl 1187.39012Boelen, Lies; van Assche, Walter 21 2010 Asymptotic properties of orthogonal polynomials from their recurrence formula. I. Zbl 0583.42011Van Assche, Walter 21 1985 Multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. Zbl 1025.33004Coussement, Els; Van Assche, Walter 20 2003 Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach. Zbl 1084.41007Kuijlaars, A. B. J.; Assche, W.; Wielonsky, F. 20 2005 Lamé differential equations and electrostatics. Zbl 0952.34023Dimitrov, Dimitar K.; Van Assche, Walter 18 2000 Approximating the weight function for orthogonal polynomials on several intervals. Zbl 0774.42015Geronimo, J. S.; Van Assche, Walter 16 1991 Entropic integrals of hyperspherical harmonics and spatial entropy of \(D\)-dimensional central potentials. Zbl 0968.81011Yáñez, R. J.; Van Assche, W.; González-Férez, R.; Dehesa, Jesús S. 16 1999 Asymptotic zero distribution for a class of multiple orthogonal polynomials. Zbl 1165.33007Coussement, E.; Coussement, J.; van Assche, W. 16 2008 Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials. Zbl 0877.33005Dehesa, Jesús S.; Van Assche, Walter; Yáñez, Rafael 15 1997 Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. Zbl 1078.33010Coussement, Els; Van Assche, Walter 15 2003 Some properties of multiple orthogonal polynomials associated with Macdonald functions. Zbl 0984.33004Coussement, Els; Van Assche, Walter 15 2001 Compact perturbations of orthogonal polynomials. Zbl 0723.42009Nevai, Paul; Van Assche, Walter 15 1992 Sieved orthogonal polynomials and discrete measures with jumps dense in an interval. Zbl 0681.42016Van Assche, Walter; Magnus, Alphonse P. 15 1989 Asymptotics for orthogonal polynomials with regularly varying recurrence coefficients. Zbl 0694.41039Van Assche, Walter; Geronimo, Jeffrey S. 15 1989 Padé and Hermite-Padé approximation and orthogonality. Zbl 1102.41017Van Assche, Walter 14 2006 Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential. Zbl 0853.94011Van Assche, Walter; Yáñez, R. J.; Dehesa, J. S. 14 1995 Extremal polynomials on discrete sets. Zbl 1033.42024Kuijlaars, A. B. J.; Van Assche, W. 14 1999 Asymptotics for orthogonal polynomials and three-term recurrences. Zbl 0697.42023Van Assche, Walter 14 1990 The impact of Stieltjes’ work on continued fractions and orthogonal polynomials: Additional material. Zbl 0856.33002Valent, Galliano; Van Assche, Walter 13 1995 Recurrence coefficients of generalized Meixner polynomials and Painlevé equations. Zbl 1217.34135Boelen, Lies; Filipuk, Galina; Van Assche, Walter 13 2011 Probabilistic proofs of asymptotic formulas for some classical polynomials. Zbl 0557.33006Maejima, Makoto; Van Assche, Walter 13 1985 Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton \(q\)-Bessel function. Zbl 0855.33011Koelink, H. T.; Van Assche, Walter 12 1995 Œuvres complètes. Collected papers. Ed. by Gerrit van Dijk. Volumes 1 and 2. Zbl 0779.01010Stieltjes, Thomas Jan 12 1993 Little \(q\)-Legendre polynomials and irrationality of certain Lambert series. Zbl 1035.11032Van Assche, Walter 12 2001 On the asymptotic distribution of eigenvalues of banded matrices. Zbl 0646.15004Geronimo, Jeffrey S.; Harrell, Evans M. II; Van Assche, Walter 12 1988 Asymptotics for orthogonal polynomials on and off the essential spectrum. Zbl 0663.41029Van Assche, Walter; Geronimo, Jeffrey S. 12 1988 The ratio of q-like orthogonal polynomials. Zbl 0634.33018Van Assche, Walter 12 1987 Interlacing properties of zeros of multiple orthogonal polynomials. Zbl 1235.33007Haneczok, Maciej; Van Assche, Walter 11 2012 Compact Jacobi matrices: From Stieltjes to Krein and \(M(a,b)\). Zbl 0879.42013Van Assche, Walter 11 1996 Analysis of non-linear recurrence relations for the recurrence coefficients of generalized Charlier polynomials. Zbl 1362.39018van Assche, Walter; Foupouagnigni, Mama 11 2003 A random variable uniformly distributed between two independent random variables. Zbl 0641.60020Van Assche, Walter 11 1987 Gaussian quadrature for multiple orthogonal polynomials. Zbl 1061.41021Coussement, Jonathan; Van Assche, Walter 11 2005 Multiple Wilson and Jacobi–Piñeiro polynomials. Zbl 1066.33005Beckermann, B.; Coussement, J.; Van Assche, W. 11 2005 Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice. Zbl 1018.37042Aptekarev, A. I.; Van Assche, W. 11 2001 Differential equations for multiple orthogonal polynomials with respect to classical weights: raising and lowering operators. Zbl 1097.33004Coussement, J.; van Assche, W. 11 2006 Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports. Zbl 1362.41001Aptekarev, Alexander I.; van Assche, Walter; Yattselev, Maxim L. 10 2017 Information entropy of Gegenbauer polynomials. Zbl 1008.81015Buyarov, V. S.; López-Artés, P.; Martínez-Finkelshtein, A.; Van Assche, W. 10 2000 Perturbation of orthogonal polynomials on an arc of the unit circle. II. Zbl 0958.42016Golinskii, Leonid; Nevai, Paul; Pintér, Ferenc; van Assche, Walter 10 1999 Christoffel functions and Turán determinants on several intervals. Zbl 0790.42013Van Assche, Walter 10 1993 Blumenthal’s theorem for Laurent orthogonal polynomials. Zbl 1022.42014Sri Ranga, A.; Van Assche, Walter 10 2002 Asymptotic behavior of quadratic Hermite-Padé approximants to the exponential function and Riemann-Hilbert problems. (Asymptotique des approximants de Hermite-Padé quadratiques de la fonction exponentielle et problèmes de Riemann-Hilbert.) Zbl 1056.30038Kuijlaars, Arno; Stahl, Herbert; Van Assche, Walter; Wielonsky, Franck 10 2003 Irrationality of \(\zeta _{q}(1)\) and \(\zeta _{q}(2)\). Zbl 1138.11027Postelmans, Kelly; Van Assche, Walter 10 2007 Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials. Zbl 1001.35116Coussement, J.; Kuijlaars, A. B. J.; Van Assche, W. 10 2002 Mehler-Heine asymptotics for multiple orthogonal polynomials. Zbl 1355.33014van Assche, Walter 10 2017 Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients. Zbl 0705.42018Geronimo, Jeffrey S.; Van Assche, Walter 10 1990 Para-orthogonal polynomials in frequency analysis. Zbl 1042.94001Daruis, Leyla; Njåstad, Olav; Van Assche, Walter 10 2003 A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions. Zbl 1314.39017Alsulami, Saud M.; Nevai, Paul; Szabados, József; Van Assche, Walter 9 2015 Discrete integrable systems generated by Hermite-Padé approximants. Zbl 1341.42043Aptekarev, Alexander I.; Derevyagin, Maxim; van Assche, Walter 9 2016 Multiple orthogonal polynomials associated with an exponential cubic weight. Zbl 1309.42037Van Assche, Walter; Filipuk, Galina; Zhang, Lun 9 2015 Type II Hermite-Padé approximation to the exponential function. Zbl 1119.41010Kuijlaars, A. B. J.; Stahl, H.; Van Assche, W.; Wielonsky, F. 9 2007 Asymptotic properties of orthogonal polynomials from their recurrence formula. II. Zbl 0643.42019Van Assche, Walter 9 1988 Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation. Zbl 1269.34095Filipuk, Galina; Van Assche, Walter 9 2013 Riemann-Hilbert analysis for a Nikishin system. Zbl 1398.30024López Lagomasino, G.; Van Assche, W. 9 2018 Functionals of Gegenbauer polynomials and \(D\)-dimensional hydrogenic momentum expectation values. Zbl 0977.33006Van Assche, W.; Yáñez, R. J.; González-Férez, R.; Dehesa, Jesús S. 8 2000 Weak convergence of orthogonal polynomials. Zbl 0834.42013Van Assche, Walter 8 1995 Orthogonal polynomials on a bi-lattice. Zbl 1262.34103Smet, Christophe; Van Assche, Walter 8 2012 Computing recurrence coefficients of multiple orthogonal polynomials. Zbl 1328.65265Filipuk, Galina; Haneczok, Maciej; Van Assche, Walter 8 2015 Products of 2\(\times 2\) stochastic matrices with random entries. Zbl 0606.60012Van Assche, Walter 8 1986 Multiple little \(q\)-Jacobi polynomials. Zbl 1068.33031Postelmans, Kelly; Van Assche, Walter 8 2005 Recurrence coefficients of a new generalization of the Meixner polynomials. Zbl 1250.33015Filipuk, Galina; Van Assche, Walter 8 2011 Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians. Zbl 1283.33010Ndayiragije, F.; Van Assche, W. 7 2013 Asymptotics of entropy integrals for orthogonal polynomials. Zbl 0892.33005Aptekarev, A. I.; Buyarov, V. S.; Van Assche, W.; Dehesa, J. S. 7 1996 Multidimensional Toda lattices: continuous and discrete time. Zbl 1341.42042Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter 7 2016 Spectral representation of four finite birth and death processes. Zbl 0971.60085Van Assche, W.; Parthasarathy, P. R.; Lenin, R. B. 7 1999 Leonhard Euler and a \(q\)-analogue of the logarithm. Zbl 1188.33006Koelink, Erik; van Assche, Walter 7 2009 WKB and turning point theory for second-order difference equations. Zbl 1064.39018Geronimo, Jeffrey S.; Bruno, Oscar; van Assche, Walter 7 2004 Weighted zero distribution for polynomials orthogonal on an infinite interval. Zbl 0593.33010Van Assche, Walter 7 1985 Unique positive solution for an alternative discrete Painlevé I equation. Zbl 1355.39005Clarkson, Peter A.; Loureiro, Ana F.; van Assche, Walter 7 2016 On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials. Zbl 1393.39012Aptekarev, A. I.; Derevyagin, M.; van Assche, W. 6 2015 Three-fold symmetric Hahn-classical multiple orthogonal polynomials. Zbl 1435.33011Loureiro, Ana F.; Van Assche, Walter 4 2020 Orthogonal and multiple orthogonal polynomials, random matrices, and Painlevé equations. Zbl 1443.33028van Assche, Walter 3 2020 Encyclopedia of special functions: the Askey-Bateman project. Volume 1. Univariate orthogonal polynomials. With the assistance by Walter van Assche. Zbl 1466.33001 2 2020 Jacobi-Angelesco multiple orthogonal polynomials on an \(r\)-star. Zbl 1436.33008Leurs, Marjolein; Van Assche, Walter 1 2020 Laguerre-Angelesco multiple orthogonal polynomials on an \(r\)-star. Zbl 1437.33008Leurs, Marjolein; Van Assche, Walter 1 2020 Solution of an open problem about two families of orthogonal polynomials. Zbl 1412.42068Van Assche, Walter 5 2019 Orthogonal polynomials and Painlevé equations. Zbl 1387.33001Van Assche, Walter 27 2018 Riemann-Hilbert analysis for a Nikishin system. Zbl 1398.30024López Lagomasino, G.; Van Assche, W. 9 2018 Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI. Zbl 1400.33016Filipuk, Galina; Van Assche, Walter 4 2018 Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports. Zbl 1362.41001Aptekarev, Alexander I.; van Assche, Walter; Yattselev, Maxim L. 10 2017 Mehler-Heine asymptotics for multiple orthogonal polynomials. Zbl 1355.33014van Assche, Walter 10 2017 Alpert multiwavelets and Legendre-Angelesco multiple orthogonal polynomials. Zbl 1359.42016Geronimo, Jeffrey S.; Iliev, Plamen; van Assche, Walter 2 2017 Discrete integrable systems generated by Hermite-Padé approximants. Zbl 1341.42043Aptekarev, Alexander I.; Derevyagin, Maxim; van Assche, Walter 9 2016 Multidimensional Toda lattices: continuous and discrete time. Zbl 1341.42042Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter 7 2016 Unique positive solution for an alternative discrete Painlevé I equation. Zbl 1355.39005Clarkson, Peter A.; Loureiro, Ana F.; van Assche, Walter 7 2016 What is \(\ldots\) a multiple orthogonal polynomial? Zbl 1352.33002Martínez-Finkelshtein, Andrei; Van Assche, Walter 6 2016 Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials. Zbl 1342.33024Neuschel, Thorsten; Van Assche, Walter 6 2016 Ratio asymptotics for multiple orthogonal polynomials. Zbl 1355.42029Van Assche, Walter 4 2016 Simultaneous Gaussian quadrature for Angelesco systems. Zbl 1377.41017Lubinsky, Doron S.; Assche, Walter Van 3 2016 A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions. Zbl 1314.39017Alsulami, Saud M.; Nevai, Paul; Szabados, József; Van Assche, Walter 9 2015 Multiple orthogonal polynomials associated with an exponential cubic weight. Zbl 1309.42037Van Assche, Walter; Filipuk, Galina; Zhang, Lun 9 2015 Computing recurrence coefficients of multiple orthogonal polynomials. Zbl 1328.65265Filipuk, Galina; Haneczok, Maciej; Van Assche, Walter 8 2015 On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials. Zbl 1393.39012Aptekarev, A. I.; Derevyagin, M.; van Assche, W. 6 2015 Hyperelliptic uniformization of algebraic curves of the third order. Zbl 1312.33022Aptekarev, A. I.; Toulyakov, D. N.; Van Assche, W. 6 2015 Orthogonal polynomials for Minkowski’s question mark function. Zbl 1312.42031Dresse, Zoé; Van Assche, Walter 3 2015 A tribute to Dick Askey. Zbl 1315.01039 1 2015 Variations of Stieltjes-Wigert and \(q\)-Laguerre polynomials and their recurrence coefficients. Zbl 1312.33059Boelen, Lies; Van Assche, Walter 1 2015 Zero distribution of polynomials satisfying a differential-difference equation. Zbl 1303.33021Dominici, Diego; van Assche, Walter 4 2014 Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation. Zbl 1269.34095Filipuk, Galina; Van Assche, Walter 9 2013 Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians. Zbl 1283.33010Ndayiragije, F.; Van Assche, W. 7 2013 The generalized Krawtchouk polynomials and the fifth Painlevé equation. Zbl 1279.33013Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun 4 2013 Ladder operators and differential equations for multiple orthogonal polynomials. Zbl 1271.33004Filipuk, Galina; Van Assche, Walter; Zhang, Lun 3 2013 The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. Zbl 1253.33012Filipuk, Galina; Van Assche, Walter; Zhang, Lun 26 2012 Interlacing properties of zeros of multiple orthogonal polynomials. Zbl 1235.33007Haneczok, Maciej; Van Assche, Walter 11 2012 Orthogonal polynomials on a bi-lattice. Zbl 1262.34103Smet, Christophe; Van Assche, Walter 8 2012 Asymptotics for the ratio and the zeros of multiple Charlier polynomials. Zbl 1246.42022Ndayiragije, François; Van Assche, Walter 1 2012 Nearest neighbor recurrence relations for multiple orthogonal polynomials. Zbl 1231.33014Van Assche, Walter 29 2011 Recurrence coefficients of generalized Meixner polynomials and Painlevé equations. Zbl 1217.34135Boelen, Lies; Filipuk, Galina; Van Assche, Walter 13 2011 Recurrence coefficients of a new generalization of the Meixner polynomials. Zbl 1250.33015Filipuk, Galina; Van Assche, Walter 8 2011 Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials. Zbl 1187.39012Boelen, Lies; van Assche, Walter 21 2010 Mellin transforms for multiple Jacobi-Piñeiro polynomials and a \(q\)-analogue. Zbl 1202.33007Smet, Christophe; van Assche, Walter 5 2010 \(q\)-discrete Painlevé equations for recurrence coefficients of modified \(q\)-Freud orthogonal polynomials. Zbl 1189.39009Boelen, Lies; Smet, Christophe; van Assche, Walter 4 2010 Orthogonal polynomials and approximation theory: some open problems. Zbl 1200.41014Van Assche, Walter 1 2010 Special issue: Rolling waves in Leuven 2008. A international workshop on the occasion of Adhemar Bultheel’s 60th birthday. Selected papers based on the presentations at the workshop, Leuven, Belgium, December 15–16, 2008. Zbl 1205.65013 1 2010 Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Paperback reprint of the 2005 original. Zbl 1172.42008Ismail, Mourad E. H. 89 2009 Leonhard Euler and a \(q\)-analogue of the logarithm. Zbl 1188.33006Koelink, Erik; van Assche, Walter 7 2009 Irrationality proof of a \(q\)-extension of \(\zeta (2)\) using little \(q\)-Jacobi polynomials. Zbl 1226.11074Smet, Christophe; Van Assche, Walter 5 2009 Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). Zbl 1156.41004Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter 21 2008 Asymptotic zero distribution for a class of multiple orthogonal polynomials. Zbl 1165.33007Coussement, E.; Coussement, J.; van Assche, W. 16 2008 Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Zbl 1143.42027Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W. 5 2008 Multiple orthogonal polynomials on the unit circle. Zbl 1172.41004Ceniceros, Judit Minguez; Van Assche, Walter 2 2008 Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials. Zbl 1128.39013Van Assche, Walter 28 2007 Irrationality of \(\zeta _{q}(1)\) and \(\zeta _{q}(2)\). Zbl 1138.11027Postelmans, Kelly; Van Assche, Walter 10 2007 Type II Hermite-Padé approximation to the exponential function. Zbl 1119.41010Kuijlaars, A. B. J.; Stahl, H.; Van Assche, W.; Wielonsky, F. 9 2007 Rakhmanov’s theorem for orthogonal matrix polynomials on the unit circle. Zbl 1136.33005Van Assche, Walter 4 2007 Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001 1 2007 Padé and Hermite-Padé approximation and orthogonality. Zbl 1102.41017Van Assche, Walter 14 2006 Differential equations for multiple orthogonal polynomials with respect to classical weights: raising and lowering operators. Zbl 1097.33004Coussement, J.; van Assche, W. 11 2006 Orthogonal polynomials and special functions. Computation and applications. Lecture notes of the 5th European summer school, Madrid, Laganés, Spain, July 8–18, 2004. Zbl 1095.33001 2 2006 Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Zbl 1082.42016Ismail, Mourad E. H. 285 2005 Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach. Zbl 1084.41007Kuijlaars, A. B. J.; Assche, W.; Wielonsky, F. 20 2005 Gaussian quadrature for multiple orthogonal polynomials. Zbl 1061.41021Coussement, Jonathan; Van Assche, Walter 11 2005 Multiple Wilson and Jacobi–Piñeiro polynomials. Zbl 1066.33005Beckermann, B.; Coussement, J.; Van Assche, W. 11 2005 Multiple little \(q\)-Jacobi polynomials. Zbl 1068.33031Postelmans, Kelly; Van Assche, Walter 8 2005 A continuum limit of the relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients. Zbl 1092.37049Coussement, J.; van Assche, W. 6 2005 Szegő quadrature and frequency analysis. Zbl 1122.41017Daruis, Leyla; Njåstad, Olav; Van Assche, Walter 4 2005 Generalizations of orthogonal polynomials. Zbl 1068.42021Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B. 2 2005 The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Zbl 1082.42017Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M. 115 2004 Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. Zbl 1061.30035Aptekarev, A. I.; Van Assche, W. 25 2004 WKB and turning point theory for second-order difference equations. Zbl 1064.39018Geronimo, Jeffrey S.; Bruno, Oscar; van Assche, Walter 7 2004 Difference equations for multiple Charlier and Meixner polynomials. Zbl 1068.33017Van Assche, Walter 5 2004 An extension of the Toda lattice: a direct and inverse spectral transform connected with orthogonal rational functions. Zbl 1045.37041Coussement, J.; Van Assche, W. 4 2004 Multiple orthogonal polynomials for classical weights. Zbl 1033.33002Aptekarev, A. I.; Branquinho, A.; Van Assche, W. 79 2003 Some discrete multiple orthogonal polynomials. Zbl 1021.33006Arvesú, J.; Coussement, J.; Van Assche, W. 44 2003 Multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. Zbl 1025.33004Coussement, Els; Van Assche, Walter 20 2003 Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. Zbl 1078.33010Coussement, Els; Van Assche, Walter 15 2003 Analysis of non-linear recurrence relations for the recurrence coefficients of generalized Charlier polynomials. Zbl 1362.39018van Assche, Walter; Foupouagnigni, Mama 11 2003 Asymptotic behavior of quadratic Hermite-Padé approximants to the exponential function and Riemann-Hilbert problems. (Asymptotique des approximants de Hermite-Padé quadratiques de la fonction exponentielle et problèmes de Riemann-Hilbert.) Zbl 1056.30038Kuijlaars, Arno; Stahl, Herbert; Van Assche, Walter; Wielonsky, Franck 10 2003 Para-orthogonal polynomials in frequency analysis. Zbl 1042.94001Daruis, Leyla; Njåstad, Olav; Van Assche, Walter 10 2003 Strong asymptotics for relativistic Hermite polynomials. Zbl 1035.33005Gawronski, Wolfgang; Van Assche, Walter 4 2003 Blumenthal’s theorem for Laurent orthogonal polynomials. Zbl 1022.42014Sri Ranga, A.; Van Assche, Walter 10 2002 Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials. Zbl 1001.35116Coussement, J.; Kuijlaars, A. B. J.; Van Assche, W. 10 2002 Some classical multiple orthogonal polynomials. Zbl 0969.33005Van Assche, Walter; Coussement, Els 73 2001 Riemann-Hilbert problems for multiple orthogonal polynomials. Zbl 0997.42012Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J. 59 2001 Some properties of multiple orthogonal polynomials associated with Macdonald functions. Zbl 0984.33004Coussement, Els; Van Assche, Walter 15 2001 Little \(q\)-Legendre polynomials and irrationality of certain Lambert series. Zbl 1035.11032Van Assche, Walter 12 2001 Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice. Zbl 1018.37042Aptekarev, A. I.; Van Assche, W. 11 2001 Ted Chihara and his work on orthogonal polynomials. Zbl 0999.01023Askey, R.; Ismail, M. E. H.; Van Assche, W. 3 2001 Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016Van Assche, W.; Yakubovich, S. B. 39 2000 Lamé differential equations and electrostatics. Zbl 0952.34023Dimitrov, Dimitar K.; Van Assche, Walter 18 2000 Information entropy of Gegenbauer polynomials. Zbl 1008.81015Buyarov, V. S.; López-Artés, P.; Martínez-Finkelshtein, A.; Van Assche, W. 10 2000 Functionals of Gegenbauer polynomials and \(D\)-dimensional hydrogenic momentum expectation values. Zbl 0977.33006Van Assche, W.; Yáñez, R. J.; González-Férez, R.; Dehesa, Jesús S. 8 2000 Nonsymmetric linear difference equations for multiple orthogonal polynomials. Zbl 0962.42016Van Assche, Walter 3 2000 The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. Zbl 0967.33009Kuijlaars, A. B. J.; Van Assche, W. 56 1999 Multiple orthogonal polynomials, irrationality and transcendence. Zbl 0952.42014Van Assche, Walter 25 1999 Entropic integrals of hyperspherical harmonics and spatial entropy of \(D\)-dimensional central potentials. Zbl 0968.81011Yáñez, R. J.; Van Assche, W.; González-Férez, R.; Dehesa, Jesús S. 16 1999 Extremal polynomials on discrete sets. Zbl 1033.42024Kuijlaars, A. B. J.; Van Assche, W. 14 1999 Perturbation of orthogonal polynomials on an arc of the unit circle. II. Zbl 0958.42016Golinskii, Leonid; Nevai, Paul; Pintér, Ferenc; van Assche, Walter 10 1999 Spectral representation of four finite birth and death processes. Zbl 0971.60085Van Assche, W.; Parthasarathy, P. R.; Lenin, R. B. 7 1999 Zero distribution of orthogonal polynomials with asymptotically periodic varying recurrence coefficients. Zbl 1002.42018Van Assche, Walter 4 1999 ...and 56 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 970 Authors 86 Van Assche, Walter 63 Marcellán Español, Francisco 43 Kuijlaars, Arno B. J. 38 Aptekarev, Alexander Ivanovich 36 Martínez-Finkelshtein, Andrei 27 Dehesa, Jesús S. 20 Ranga, A. Sri 19 Durán, Antonio José 19 López Lagomasino, Guillermo Tomás 17 Branquinho, Amílcar José Pinto Lopes 17 Filipuk, Galina V. 16 Dette, Holger 16 Moreno-Balcázar, Juan José 16 Peherstorfer, Franz 15 Ismail, Mourad El-Houssieny 15 Zhang, Lun 14 Bultheel, Adhemar François 14 Xu, Shuaixia 14 Yattselev, Maxim L. 13 González-Vera, Pablo 13 Zhao, Yuqiu 12 Foulquié Moreno, Ana Pilar 12 Yáñez, Rafael J. 11 Bracciali, Cleonice Fátima 11 Geronimo, Jeffrey S. 11 Pijeira-Cabrera, Héctor 11 Suetin, Sergeĭ Pavlovich 10 Dominici, Diego Ernesto 10 Garza, Luis E. 10 Koelink, Erik 10 Lubinsky, Doron S. 10 Njåstad, Olav 10 Petronilho, José C. 9 Álvarez-Nodarse, Renato 9 Castillo, Kenier 9 Chen, Yang 9 Deaño, Alfredo 9 Derevyagin, Maxim S. 9 García-Ardila, Juan Carlos 9 Lysov, Vladimir G. 9 Nevai, Paul G. 9 Osilenker, Boris P. 9 Starovoĭtov, Aleksandr Pavlovich 9 Totik, Vilmos 9 Wong, Roderick Sue-Chuen 8 Charlier, Christophe 8 Dai, Dan 8 Delvaux, Steven 8 Golinskii, Leonid Borisovich 8 Magnus, Alphonse Ph. 8 Maroni, Pascal 8 Moral, Leandro 8 Rakhmanov, Evgenij Andreevich 8 Ronveaux, André 8 Sánchez-Moreno, Pablo 8 Shapiro, Boris Zalmanovich 8 Simon, Barry 8 Tulyakov, Dmitrii N. 8 Wielonsky, Franck 8 Zhedanov, Alexei S. 7 Alpan, Gökalp 7 Beckermann, Bernhard 7 Ben Cheikh, Youssèf 7 Cantero, María José 7 Clarkson, Peter A. 7 Duits, Maurice 7 Foupouagnigni, Mama 7 Grünbaum, Francisco Alberto 7 Huertas Cejudo, Edmundo José 7 Lamiri, Imed 7 Orive Rodríguez, Ramón Angel 7 Saff, Edward Barry 7 Smet, Christophe 7 Štampach, František 7 Yakubovich, Semyon B. 6 Barrios Rolanía, D. 6 Bleher, Pavel M. 6 Claeys, Tom 6 Gautschi, Walter 6 Griffin, James C. 6 Loureiro, Ana Filipa 6 Mañas, Manuel 6 Milovanović, Gradimir V. 6 Neuschel, Thorsten 6 Parthasarathy, Panamalai Ramarao 6 Piñar, Miguel A. 6 Rebocho, M. N. 6 Rezola, María Luisa 6 Román, Pablo Manuel 6 Silva, Guilherme L. F. 6 Stahl, Herbert Robert 6 Świderski, Grzegorz 6 Velázquez, Luis 5 Alfaro García, Manuel 5 Alhaidari, Abdulaziz D. 5 Arvesú, Jorge 5 Baratchart, Laurent 5 Ben Romdhane, Neila 5 Bonneux, Niels 5 Bourget, Alain ...and 870 more Authors all top 5 Cited in 210 Serials 178 Journal of Approximation Theory 145 Journal of Computational and Applied Mathematics 50 Journal of Mathematical Analysis and Applications 39 Constructive Approximation 35 Linear Algebra and its Applications 31 Proceedings of the American Mathematical Society 30 Journal of Mathematical Physics 29 Communications in Mathematical Physics 29 Integral Transforms and Special Functions 25 Journal of Difference Equations and Applications 22 Applied Mathematics and Computation 21 Random Matrices: Theory and Applications 20 Numerical Algorithms 17 Mathematical Notes 17 Mathematics of Computation 17 Advances in Mathematics 16 Transactions of the American Mathematical Society 16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 16 Proceedings of the Steklov Institute of Mathematics 14 Rocky Mountain Journal of Mathematics 14 Applied Numerical Mathematics 13 Journal d’Analyse Mathématique 9 Journal of Functional Analysis 9 Numerische Mathematik 9 Statistics & Probability Letters 9 Applied Mathematics Letters 9 Indagationes Mathematicae. New Series 9 Computational Methods and Function Theory 9 Analysis and Applications (Singapore) 7 Computers & Mathematics with Applications 7 Studies in Applied Mathematics 7 Sbornik: Mathematics 7 The Ramanujan Journal 7 Mediterranean Journal of Mathematics 6 Journal of Statistical Physics 6 Letters in Mathematical Physics 6 Theoretical and Mathematical Physics 6 Advances in Applied Mathematics 6 Acta Applicandae Mathematicae 6 Russian Journal of Mathematical Physics 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Complex Analysis and Operator Theory 5 Russian Mathematical Surveys 5 Duke Mathematical Journal 5 Transactions of the Moscow Mathematical Society 5 Analysis and Mathematical Physics 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Russian Mathematics 4 Advances in Computational Mathematics 4 Journal of Nonlinear Mathematical Physics 4 Journal of Physics A: Mathematical and Theoretical 4 Bulletin of Mathematical Sciences 3 Analysis Mathematica 3 Applicable Analysis 3 Nuclear Physics. B 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Differential Equations 3 Journal of Multivariate Analysis 3 Journal of Number Theory 3 Quaestiones Mathematicae 3 Acta Mathematica Hungarica 3 Journal of Theoretical Probability 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Scientific Computing 3 The Annals of Applied Probability 3 SIAM Journal on Mathematical Analysis 3 Journal of Mathematical Sciences (New York) 3 Journal of Mathematical Chemistry 3 Doklady Mathematics 3 Annales Henri Poincaré 3 Foundations of Computational Mathematics 3 Mathematics in Computer Science 3 Journal of Spectral Theory 3 Afrika Matematika 3 Problemy Fiziki, Matematiki i Tekhniki 2 International Journal of Theoretical Physics 2 Linear and Multilinear Algebra 2 Physica A 2 Physics Letters. A 2 Reports on Mathematical Physics 2 Ukrainian Mathematical Journal 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 BIT 2 Functional Analysis and its Applications 2 Integral Equations and Operator Theory 2 Journal of Applied Probability 2 Journal of Statistical Planning and Inference 2 Mathematische Nachrichten 2 Mathematica Slovaca 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Results in Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Physica D 2 Journal of the American Mathematical Society 2 Queueing Systems 2 Experimental Mathematics ...and 110 more Serials all top 5 Cited in 53 Fields 632 Special functions (33-XX) 533 Harmonic analysis on Euclidean spaces (42-XX) 224 Approximations and expansions (41-XX) 198 Functions of a complex variable (30-XX) 143 Linear and multilinear algebra; matrix theory (15-XX) 129 Probability theory and stochastic processes (60-XX) 117 Numerical analysis (65-XX) 112 Ordinary differential equations (34-XX) 108 Operator theory (47-XX) 83 Difference and functional equations (39-XX) 54 Quantum theory (81-XX) 48 Number theory (11-XX) 46 Dynamical systems and ergodic theory (37-XX) 42 Partial differential equations (35-XX) 41 Statistical mechanics, structure of matter (82-XX) 37 Statistics (62-XX) 35 Real functions (26-XX) 35 Information and communication theory, circuits (94-XX) 33 Potential theory (31-XX) 28 Integral transforms, operational calculus (44-XX) 25 Combinatorics (05-XX) 21 Sequences, series, summability (40-XX) 16 Functional analysis (46-XX) 9 History and biography (01-XX) 9 Computer science (68-XX) 7 Algebraic geometry (14-XX) 6 Measure and integration (28-XX) 6 Abstract harmonic analysis (43-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Optics, electromagnetic theory (78-XX) 3 Group theory and generalizations (20-XX) 3 Geometry (51-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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