Edit Profile Ronveaux, André Compute Distance To: Compute Author ID: ronveaux.andre Published as: Ronveaux, A.; Ronveaux, Andre; Ronveaux, André Documents Indexed: 133 Publications since 1962, including 4 Books Biographic References: 1 Publication all top 5 Co-Authors 25 single-authored 31 Godoy, Eduardo Paciência 30 Zarzo, Alejandro 27 Area, Iván 14 Hounkonnou, Mahouton Norbert 10 Belmehdi, Said 10 Foupouagnigni, Mama 8 Marcellán Español, Francisco 6 Dumont-Lepage, Marie-Claire 5 Koepf, Wolfram A. 4 Hounga, C. 4 Lambert, Dominique 4 Moussiaux, A. 3 Dehesa, Jesús S. 3 Dimitrov, Dimitar K. 3 Lewanowicz, Stanisław 3 Maroni, Pascal 2 Alfaro García, Manuel 2 Álvarez de Morales, María 2 Álvarez-Nodarse, Renato 2 Brezinski, Claude 2 Dini, Jamal 2 Kibler, Maurice R. 2 Magnus, Alphonse Ph. 2 Mawhin, Jean L. 2 Pérez, Teresa E. 2 Piñar, Miguel A. 2 Rebillard, Luc 2 Rezola, María Luisa 2 Thiry, G. 1 Alaya, Jilani 1 Atakishiev, Natig M. 1 Atia, Mohamed Jalel 1 Azatassou, E. S. 1 Brackx, Freddy 1 Constales, Denis 1 Decarreau, Andrée 1 Draux, André 1 Evans, William Desmond 1 Gazeau, Jean-Pierre 1 Gerard, Raymonde 1 Gori, Laura 1 Habay, J. 1 Kaliaguine, Valeri A. 1 Letessier, Jean 1 Littlejohn, Lance L. 1 Marino, Patrick J. 1 Markett, Clemens 1 Meunier, J.-L. 1 Muldoon, Martin E. 1 Navez, Patrick 1 Ndayiragije, François 1 Négadi, Tidjani 1 Quintero, Niurka R. 1 Robert, Ashish 1 Rodal, Jocelyn 1 Saint-Aubin, Yvan 1 Salto, L. 1 Serras, Herman 1 Sodoga, Komi 1 Valent, Galliano 1 Van Assche, Walter 1 Wolf, Kurt Bernardo 1 Woźny, Paweł 1 Yáñez, Rafael J. all top 5 Serials 37 Journal of Computational and Applied Mathematics 7 Journal of Physics A: Mathematical and General 5 Journal of Approximation Theory 5 Journal of Symbolic Computation 4 Applied Mathematics and Computation 4 Annales de la Société Scientifique de Bruxelles. Série I 4 Journal of Difference Equations and Applications 3 Journal of Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Bulletin de la Société Royale des Sciences de Liège 3 Numerical Algorithms 3 SIAM Journal on Mathematical Analysis 3 Integral Transforms and Special Functions 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Applicationes Mathematicae 1 Archive for History of Exact Sciences 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Revue des Questions Scientifiques, 5. Série 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Mathematics Magazine 1 Canadian Mathematical Bulletin 1 Portugaliae Mathematica 1 SIGSAM Bulletin 1 Simon Stevin 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 ETNA. Electronic Transactions on Numerical Analysis 1 Annals of Numerical Mathematics 1 Lecture Notes in Mathematics 1 Communications in Mathematical Analysis 1 Annals of the University of Bucharest. Mathematical Series 1 Chiffres, Revue de l’Association Française de Calcul et de Traitement de l’Information all top 5 Fields 90 Special functions (33-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 19 Ordinary differential equations (34-XX) 17 Difference and functional equations (39-XX) 11 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 5 Combinatorics (05-XX) 5 Approximations and expansions (41-XX) 5 Quantum theory (81-XX) 4 Field theory and polynomials (12-XX) 4 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 109 Publications have been cited 1,298 times in 737 Documents Cited by ▼ Year ▼ Heun’s differential equations. Zbl 0847.34006Ronveaux, A. (ed.) 258 1995 Recurrence relations for connection coefficients between two families of orthogonal polynomials. Zbl 0876.65005Ronveaux, A.; Zarzo, A.; Godoy, E. 44 1995 On orthogonal polynomials of Sobolev type: Algebraic properties and zeros. Zbl 0764.33003Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. 44 1992 On a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0732.42016Marcellan, F.; Ronveaux, A. 42 1990 Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. Zbl 0909.65008Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. 37 1997 On orthogonal polynomials with perturbed recurrence relations. Zbl 0713.42021Marcellan, F.; Dehesa, J. S.; Ronveaux, A. 37 1990 On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre 34 1995 Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas. Zbl 0988.33008Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 29 2001 Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0934.33014Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 29 1998 Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials. Zbl 0862.33006Ronveaux, A.; Belmehdi, S.; Godoy, E.; Zarzo, A. 26 1996 Laguerre-Freud’s equations for the recurrence coefficients of semi- classical orthogonal polynomials. Zbl 0802.42022Belmehdi, S.; Ronveaux, A. 25 1994 Fourth-order differential equations for numerator polynomials. Zbl 0661.33009Ronveaux, A. 25 1988 Results for some inversion problems for classical continuous and discrete orthogonal polynomials. Zbl 0992.33003Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A. 23 1997 Upward extension of the Jacobi matrix for orthogonal polynomials. Zbl 0858.42015Ronveaux, André; Van Assche, Walter 22 1996 Sobolev-type orthogonal polynomials: The nondiagonal case. Zbl 0841.42013Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. 22 1995 Co-recursive orthogonal polynomials and fourth-order differential equation. Zbl 0662.33005Ronveaux, A.; Marcellan, F. 22 1989 Zeros of Gegenbauer and Hermite polynomials and connection coefficients. Zbl 1048.33007Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André 20 2004 On a system of “classical” polynomials of simultaneous orthogonality. Zbl 0857.42012Kaliaguine, V.; Ronveaux, A. 20 1996 Sur une perturbation de la récurrence vérifiée par une suite de polynômes orthogonaux. (On a perturbation of the recurrence relation verified by a sequence of orthogonal polynomials). Zbl 0681.33016Dini, J.; Maroni, P.; Ronveaux, A. 18 1989 Inversion problems in the \(q\)-Hahn tableau. Zbl 0953.33005Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 16 1999 The fourth-order differential equation satisfied by the associated orthogonal polynomials. Zbl 0731.33008Belmehdi, S.; Ronveaux, A. 15 1991 On the limit relations between classical continuous and discrete orthogonal polynomials. Zbl 0934.33013Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. 13 1998 Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros. Zbl 0835.42013Ronveaux, A.; Zarzo, A.; Godoy, E. 13 1995 Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros. Zbl 0795.33001Zarzo, A.; Ronveaux, A.; Godoy, E. 13 1993 Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials. Zbl 0688.33008Ronveaux, A.; Belmehdi, S.; Dini, J.; Maroni, P. 13 1990 Discrete semi-classical orthogonal polynomials: generalized Meixner. Zbl 0591.42015Ronveaux, A. 13 1986 Transverse limits in the Askey tableau. Zbl 0936.33004Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 12 1998 Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one. Zbl 0931.33009Foupouagnigni, M.; Hounkonnou, M. N.; Ronveaux, A. 12 1998 Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0892.65078Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 12 1997 Differential equation for classical-type orthogonal polynomials. Zbl 0685.33008Ronveaux, A.; Marcellan, F. 12 1989 Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. Zbl 1248.35037Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 11 2012 Classical symmetric orthogonal polynomials of a discrete variable. Zbl 1055.33004Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 11 2004 Factorization of the Heun’s differential operator. Zbl 1035.34100Ronveaux, A. 11 2003 Recurrence relations for connection coefficients between \(q\)-orthogonal polynomials of discrete variables in the non-uniform lattice \(x(s)=q^{2s}\). Zbl 0932.33026Álvarez-Nodarse, R.; Ronveaux, A. 11 1996 Difference equation for associated polynomials on a linear lattice. Zbl 0887.39001Atakishiyev, N. M.; Ronveaux, A.; Wolf, K. B. 11 1996 Sur l’équation différentielle du second ordre satisfaite par une classe de polynômes orthogonaux semi-classiques. (On the second order differential equation satisfied by a class of semi-classical orthogonal polynomials). Zbl 0621.33014Ronveaux, André 11 1987 Formes canoniques des équations confluentes de l’équation de Heun. Zbl 0381.33004Decarreau, A.; Dumont-Lepage, M.-Cl.; Maroni, P.; Robert, A.; Ronveaux, A. 11 1978 Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 10 2004 Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials. Zbl 0952.33006Foupouagnigni, M.; Ronveaux, A.; Koepf, W. 10 1999 Generalized linearization problems. Zbl 0867.33003Ronveaux, A.; Hounkonnou, M. N.; Belmehdi, S. 10 1995 Classical orthogonal polynomials: Dependence of parameters. Zbl 0962.33006Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 9 2000 Recursive approach to connection and linearization coefficients between polynomials. Zbl 0922.33004Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A. 9 1998 Fourth-order difference equation for the associated Meixner and Charlier polynomials. Zbl 0856.33008Letessier, Jean; Ronveaux, André; Valent, Galliano 9 1996 4th order differential equations and orthogonal polynomials of the Laguerre-Hahn class. Zbl 0834.34014Ronveaux, A. 9 1991 Factorization of some confluent Heun’s differential equations. Zbl 1126.34307Hounkonnou, Mahouton Norbert; Ronveaux, André; Sodoga, Komi 8 2007 Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution. Zbl 1067.39033Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 8 2005 Hypergeometric-type differential equations: second kind solutions and related integrals. Zbl 1036.33005Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 8 2003 Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials. Zbl 1047.33009Lewanowicz, Stanislaw; Godoy, Eduardo; Area, Iván; Ronveaux, André; Zarzo, Alejandro 8 2000 Bernstein bases and Hahn-Eberlein orthogonal polynomials. Zbl 0942.33006Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 8 1998 Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Zbl 0812.00027Brezinski, Claude (ed.); Gori, Laura (ed.); Ronveaux, André (ed.) 8 1991 About derivatives of Heun’s functions from polynomial transformations of hypergeometric equations. Zbl 1175.34008Hounkonnou, Mahouton Norbert; Ronveaux, André 7 2009 Non-standard orthogonality for Meixner polynomials. Zbl 0949.33004Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André 7 1999 Connection problems for polynomial solutions of nonhomogeneous differential and difference equations. Zbl 0933.65147Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. 7 1998 Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials. Zbl 0906.33003Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I. 7 1998 Linearization of the product of orthogonal polynomials of a discrete variable. Zbl 0891.33006Belmehdi, S.; Lewanowicz, S.; Ronveaux, A. 7 1997 Some 4th order differential equations related to classical orthogonal polynomials. Zbl 0757.34013Ronveaux, A. 7 1989 Discrete semi-classical orthogonal polynomials: Generalized Charlier. Zbl 0971.42015Hounkonnou, M. N.; Hounga, C.; Ronveaux, A. 6 2000 Orthogonal polynomials: Connection and linearization coefficients. Zbl 0928.33009Ronveaux, A. 6 1997 Polynômes orthogonaux dont les polynômes derives sont quasi orthogonaux. Zbl 0431.33006Ronveaux, Andre 6 1979 On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. Zbl 1062.33010Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 5 2003 Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. Zbl 1050.33005Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 5 2003 The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \({\mathcal D}_q\)-Laguerre-Hahn class. Zbl 0996.33009Foupouagnigni, M.; Ronveaux, A.; Hounkonnou, M. N. 5 2001 Linearization of arbitrary products of classical orthogonal polynomials. Zbl 0997.33002Hounkonnou, Mahouton Norbert; Belmehdi, Said; Ronveaux, André 5 2000 On the linearization problem involving Pochhammer symbols and their \(q\)-analogues. Zbl 0934.33026Álvarez-Nodarse, R.; Quintero, N. R.; Ronveaux, A. 5 1999 Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 5 1998 Quasi-orthogonality and differential equations. Zbl 0687.33013Ronveaux, A. 5 1990 New families of orthogonal polynomials. Zbl 1093.33004Hounga, C.; Hounkonnou, M. N.; Ronveaux, A. 4 2006 Some generalized Jacobi polynomials. Zbl 1075.33002Atia, M. J.; Alaya, J.; Ronveaux, A. 4 2003 Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class. Zbl 1039.39009Foupouagnigni, M.; Ronveaux, A. 4 2003 The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class. Zbl 0948.65140Foupouagnigni, Mama; Hounkonnou, M. Norbert; Ronveaux, André 4 1999 Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation. Zbl 0846.33007Zarzo, A.; Yáñez, R. J.; Ronveaux, A.; Dehesa, J. S. 4 1995 Gel’fand lattice polynomials and irreducible representations of U(n). Zbl 0389.22014Gazeau, J.-P.; Dumont-Lepage, M.-Cl.; Ronveaux, A. 4 1978 Extensions of some results of P. Humbert on Bezout’s identity for classical orthogonal polynomials. Zbl 1094.33005Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 3 2006 Formulae relating little \(q\)-Jacobi, \(q\)-Hahn and \(q\)-Bernstein polynomials: Application to \(q\)-Bézier curve evaluation. Zbl 1065.33010Area, I.; Godoy, E.; Woźny, P.; Lewanowicz, S.; Ronveaux, A. 3 2004 Discrete orthogonal polynomials – polynomial modification of a classical functional. Zbl 0991.33002Ronveaux, A.; Salto, L. 3 2001 Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials. Zbl 0989.39007Foupouagnigni, M.; Ronveaux, A. 3 2001 Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials. Zbl 0966.33006Dimitrov, Dimitar K.; Ronveaux, André 3 2001 Interlacing properties of the zeros of the derivative, associated and adjacent of semi-classical and classical orthogonal polynomials. Zbl 0831.33004Ronveaux, A.; Belmehdi, S. 3 1995 Newton sum rules of zeros of semiclassical orthogonal polynomials. Zbl 0713.65035Zarzo, A.; Dehesa, J. S.; Ronveaux, A. 3 1990 On the harmonic and monogenic decomposition of polynomials. Zbl 0681.68046Brackx, F.; Constales, D.; Ronveaux, A.; Serras, H. 3 1989 Harmonic polynomials invariant under a finite subgroup of O(n). Zbl 0517.22019Ronveaux, A.; Saint-Aubin, Yvan 3 1983 Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. Zbl 1312.33042Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A. 2 2015 Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials. Zbl 1213.01127Mawhin, Jean; Ronveaux, André 2 2010 Zeros of Jacobi functions of second kind. Zbl 1089.33003Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André 2 2006 Expansion of multivariable polynomials in products of orthogonal polynomials in one variable. Zbl 1025.40003Ronveaux, A.; Rebillard, L. 2 2002 Three lectures on classical orthogonal polynomials. Zbl 0986.33001Ronveaux, A. 2 2000 Decomposition of polynomials with respect to the cyclic group of order \(m\). Zbl 0947.65057Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 2 1999 Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients. Zbl 0930.33005Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André 2 1998 Stieltjes sums for zeros of orthogonal polynomials. Zbl 0827.42011Ronveaux, André; Muldoon, Martin E. 2 1995 Sobolev inner products and orthogonal polynomials of Sobolev type. Zbl 0785.33006Ronveaux, A. 2 1992 Bounds on the number of poles of the solution of a general Riccati equation. Zbl 0378.34006Ronveaux, A.; Dumont-Lepage, M-C.; Habay, J. 2 1977 Potentiels spheroidaux pour l’équation de Schrödinger. I: Caractérisation d’un etat lie. Zbl 0313.35021Ronveaux, Andre; Dumont-Lepage, Marie-Claire; Gerard, Raymonde 2 1975 A priori bound on the first zero of some special functions. Zbl 0283.34031Ronveaux, A.; Moussiaux, A. 2 1974 Factorization of generalized Lamé and Heun’s differential equations. Zbl 1209.34008Hounkonnou, M. N.; Ronveaux, A. 1 2011 Orthogonal polynomials—centroid of their zeroes. Zbl 1181.42030Ronveaux, André 1 2008 Orthogonal polynomials and the Bézout identity. Zbl 1126.33005Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 1 2007 Laguerre-Freud equations for the recurrence coefficients of some discrete semi-classical orthogonal polynomials of class two. Zbl 1125.42012Hounga, C.; Hounkonnou, M. N.; Ronveaux, A. 1 2006 Rediscovering the contributions of Rodrigues on the representation of special functions. Zbl 1083.33008Ronveaux, André; Mawhin, Jean 1 2005 Factorization of the Heun operator. Zbl 1102.34331Ronveaux, André 1 2001 Expansion of multivariate polynomials in products of univariate orthogonal polynomials: Discrete case. Zbl 1013.33007Rebillard, L.; Ronveaux, A. 1 2001 Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. Zbl 1312.33042Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A. 2 2015 Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. Zbl 1248.35037Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 11 2012 Factorization of generalized Lamé and Heun’s differential equations. Zbl 1209.34008Hounkonnou, M. N.; Ronveaux, A. 1 2011 Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials. Zbl 1213.01127Mawhin, Jean; Ronveaux, André 2 2010 About derivatives of Heun’s functions from polynomial transformations of hypergeometric equations. Zbl 1175.34008Hounkonnou, Mahouton Norbert; Ronveaux, André 7 2009 Orthogonal polynomials—centroid of their zeroes. Zbl 1181.42030Ronveaux, André 1 2008 Factorization of some confluent Heun’s differential equations. Zbl 1126.34307Hounkonnou, Mahouton Norbert; Ronveaux, André; Sodoga, Komi 8 2007 Orthogonal polynomials and the Bézout identity. Zbl 1126.33005Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 1 2007 New families of orthogonal polynomials. Zbl 1093.33004Hounga, C.; Hounkonnou, M. N.; Ronveaux, A. 4 2006 Extensions of some results of P. Humbert on Bezout’s identity for classical orthogonal polynomials. Zbl 1094.33005Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 3 2006 Zeros of Jacobi functions of second kind. Zbl 1089.33003Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André 2 2006 Laguerre-Freud equations for the recurrence coefficients of some discrete semi-classical orthogonal polynomials of class two. Zbl 1125.42012Hounga, C.; Hounkonnou, M. N.; Ronveaux, A. 1 2006 Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution. Zbl 1067.39033Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 8 2005 Rediscovering the contributions of Rodrigues on the representation of special functions. Zbl 1083.33008Ronveaux, André; Mawhin, Jean 1 2005 Zeros of Gegenbauer and Hermite polynomials and connection coefficients. Zbl 1048.33007Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André 20 2004 Classical symmetric orthogonal polynomials of a discrete variable. Zbl 1055.33004Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 11 2004 Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 10 2004 Formulae relating little \(q\)-Jacobi, \(q\)-Hahn and \(q\)-Bernstein polynomials: Application to \(q\)-Bézier curve evaluation. Zbl 1065.33010Area, I.; Godoy, E.; Woźny, P.; Lewanowicz, S.; Ronveaux, A. 3 2004 Factorization of the Heun’s differential operator. Zbl 1035.34100Ronveaux, A. 11 2003 Hypergeometric-type differential equations: second kind solutions and related integrals. Zbl 1036.33005Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 8 2003 On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. Zbl 1062.33010Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 5 2003 Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. Zbl 1050.33005Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 5 2003 Some generalized Jacobi polynomials. Zbl 1075.33002Atia, M. J.; Alaya, J.; Ronveaux, A. 4 2003 Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class. Zbl 1039.39009Foupouagnigni, M.; Ronveaux, A. 4 2003 Expansion of multivariable polynomials in products of orthogonal polynomials in one variable. Zbl 1025.40003Ronveaux, A.; Rebillard, L. 2 2002 Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas. Zbl 0988.33008Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 29 2001 The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \({\mathcal D}_q\)-Laguerre-Hahn class. Zbl 0996.33009Foupouagnigni, M.; Ronveaux, A.; Hounkonnou, M. N. 5 2001 Discrete orthogonal polynomials – polynomial modification of a classical functional. Zbl 0991.33002Ronveaux, A.; Salto, L. 3 2001 Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials. Zbl 0989.39007Foupouagnigni, M.; Ronveaux, A. 3 2001 Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials. Zbl 0966.33006Dimitrov, Dimitar K.; Ronveaux, André 3 2001 Factorization of the Heun operator. Zbl 1102.34331Ronveaux, André 1 2001 Expansion of multivariate polynomials in products of univariate orthogonal polynomials: Discrete case. Zbl 1013.33007Rebillard, L.; Ronveaux, A. 1 2001 Classical orthogonal polynomials: Dependence of parameters. Zbl 0962.33006Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 9 2000 Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials. Zbl 1047.33009Lewanowicz, Stanislaw; Godoy, Eduardo; Area, Iván; Ronveaux, André; Zarzo, Alejandro 8 2000 Discrete semi-classical orthogonal polynomials: Generalized Charlier. Zbl 0971.42015Hounkonnou, M. N.; Hounga, C.; Ronveaux, A. 6 2000 Linearization of arbitrary products of classical orthogonal polynomials. Zbl 0997.33002Hounkonnou, Mahouton Norbert; Belmehdi, Said; Ronveaux, André 5 2000 Three lectures on classical orthogonal polynomials. Zbl 0986.33001Ronveaux, A. 2 2000 Laguerre-Freud equations for semi-classical operators. Zbl 0977.81018Azatassou, E.; Hounkonnou, M. N.; Ronveaux, A. 1 2000 Inversion problems in the \(q\)-Hahn tableau. Zbl 0953.33005Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 16 1999 Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials. Zbl 0952.33006Foupouagnigni, M.; Ronveaux, A.; Koepf, W. 10 1999 Non-standard orthogonality for Meixner polynomials. Zbl 0949.33004Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André 7 1999 On the linearization problem involving Pochhammer symbols and their \(q\)-analogues. Zbl 0934.33026Álvarez-Nodarse, R.; Quintero, N. R.; Ronveaux, A. 5 1999 The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class. Zbl 0948.65140Foupouagnigni, Mama; Hounkonnou, M. Norbert; Ronveaux, André 4 1999 Decomposition of polynomials with respect to the cyclic group of order \(m\). Zbl 0947.65057Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 2 1999 Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0934.33014Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 29 1998 On the limit relations between classical continuous and discrete orthogonal polynomials. Zbl 0934.33013Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. 13 1998 Transverse limits in the Askey tableau. Zbl 0936.33004Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 12 1998 Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one. Zbl 0931.33009Foupouagnigni, M.; Hounkonnou, M. N.; Ronveaux, A. 12 1998 Recursive approach to connection and linearization coefficients between polynomials. Zbl 0922.33004Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A. 9 1998 Bernstein bases and Hahn-Eberlein orthogonal polynomials. Zbl 0942.33006Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E. 8 1998 Connection problems for polynomial solutions of nonhomogeneous differential and difference equations. Zbl 0933.65147Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. 7 1998 Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials. Zbl 0906.33003Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I. 7 1998 Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006Foupouagnigni, M.; Koepf, W.; Ronveaux, A. 5 1998 Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients. Zbl 0930.33005Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André 2 1998 Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. Zbl 0909.65008Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I. 37 1997 Results for some inversion problems for classical continuous and discrete orthogonal polynomials. Zbl 0992.33003Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A. 23 1997 Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0892.65078Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. 12 1997 Linearization of the product of orthogonal polynomials of a discrete variable. Zbl 0891.33006Belmehdi, S.; Lewanowicz, S.; Ronveaux, A. 7 1997 Orthogonal polynomials: Connection and linearization coefficients. Zbl 0928.33009Ronveaux, A. 6 1997 Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials. Zbl 0862.33006Ronveaux, A.; Belmehdi, S.; Godoy, E.; Zarzo, A. 26 1996 Upward extension of the Jacobi matrix for orthogonal polynomials. Zbl 0858.42015Ronveaux, André; Van Assche, Walter 22 1996 On a system of “classical” polynomials of simultaneous orthogonality. Zbl 0857.42012Kaliaguine, V.; Ronveaux, A. 20 1996 Recurrence relations for connection coefficients between \(q\)-orthogonal polynomials of discrete variables in the non-uniform lattice \(x(s)=q^{2s}\). Zbl 0932.33026Álvarez-Nodarse, R.; Ronveaux, A. 11 1996 Difference equation for associated polynomials on a linear lattice. Zbl 0887.39001Atakishiyev, N. M.; Ronveaux, A.; Wolf, K. B. 11 1996 Fourth-order difference equation for the associated Meixner and Charlier polynomials. Zbl 0856.33008Letessier, Jean; Ronveaux, André; Valent, Galliano 9 1996 Heun’s differential equations. Zbl 0847.34006Ronveaux, A. (ed.) 258 1995 Recurrence relations for connection coefficients between two families of orthogonal polynomials. Zbl 0876.65005Ronveaux, A.; Zarzo, A.; Godoy, E. 44 1995 On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre 34 1995 Sobolev-type orthogonal polynomials: The nondiagonal case. Zbl 0841.42013Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. 22 1995 Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros. Zbl 0835.42013Ronveaux, A.; Zarzo, A.; Godoy, E. 13 1995 Generalized linearization problems. Zbl 0867.33003Ronveaux, A.; Hounkonnou, M. N.; Belmehdi, S. 10 1995 Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation. Zbl 0846.33007Zarzo, A.; Yáñez, R. J.; Ronveaux, A.; Dehesa, J. S. 4 1995 Interlacing properties of the zeros of the derivative, associated and adjacent of semi-classical and classical orthogonal polynomials. Zbl 0831.33004Ronveaux, A.; Belmehdi, S. 3 1995 Stieltjes sums for zeros of orthogonal polynomials. Zbl 0827.42011Ronveaux, André; Muldoon, Martin E. 2 1995 Laguerre-Freud’s equations for the recurrence coefficients of semi- classical orthogonal polynomials. Zbl 0802.42022Belmehdi, S.; Ronveaux, A. 25 1994 Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros. Zbl 0795.33001Zarzo, A.; Ronveaux, A.; Godoy, E. 13 1993 Towards new solutions of the general Hurwitz problem. Zbl 0813.15011Lambert, D.; Ronveaux, A. 1 1993 On orthogonal polynomials of Sobolev type: Algebraic properties and zeros. Zbl 0764.33003Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. 44 1992 Sobolev inner products and orthogonal polynomials of Sobolev type. Zbl 0785.33006Ronveaux, A. 2 1992 The fourth-order differential equation satisfied by the associated orthogonal polynomials. Zbl 0731.33008Belmehdi, S.; Ronveaux, A. 15 1991 4th order differential equations and orthogonal polynomials of the Laguerre-Hahn class. Zbl 0834.34014Ronveaux, A. 9 1991 Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Zbl 0812.00027Brezinski, Claude (ed.); Gori, Laura (ed.); Ronveaux, André (ed.) 8 1991 Orthogonality with respect to the sum of two semiclassical regular linear forms. Zbl 0768.33010Ronveaux, A.; Belmehdi, S.; Marcellán, F. 1 1991 On a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0732.42016Marcellan, F.; Ronveaux, A. 42 1990 On orthogonal polynomials with perturbed recurrence relations. Zbl 0713.42021Marcellan, F.; Dehesa, J. S.; Ronveaux, A. 37 1990 Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials. Zbl 0688.33008Ronveaux, A.; Belmehdi, S.; Dini, J.; Maroni, P. 13 1990 Quasi-orthogonality and differential equations. Zbl 0687.33013Ronveaux, A. 5 1990 Newton sum rules of zeros of semiclassical orthogonal polynomials. Zbl 0713.65035Zarzo, A.; Dehesa, J. S.; Ronveaux, A. 3 1990 Co-recursive orthogonal polynomials and fourth-order differential equation. Zbl 0662.33005Ronveaux, A.; Marcellan, F. 22 1989 Sur une perturbation de la récurrence vérifiée par une suite de polynômes orthogonaux. (On a perturbation of the recurrence relation verified by a sequence of orthogonal polynomials). Zbl 0681.33016Dini, J.; Maroni, P.; Ronveaux, A. 18 1989 Differential equation for classical-type orthogonal polynomials. Zbl 0685.33008Ronveaux, A.; Marcellan, F. 12 1989 Some 4th order differential equations related to classical orthogonal polynomials. Zbl 0757.34013Ronveaux, A. 7 1989 On the harmonic and monogenic decomposition of polynomials. Zbl 0681.68046Brackx, F.; Constales, D.; Ronveaux, A.; Serras, H. 3 1989 Differential equations of some orthogonal families in REDUCE. Zbl 0688.65015Ronveaux, A.; Thiry, G. 1 1989 Fourth-order differential equations for numerator polynomials. Zbl 0661.33009Ronveaux, A. 25 1988 Elliptic and ultrahyperbolic differential operators connected by Hurwitz transformations. Zbl 0659.35003Lambert, D.; Ronveaux, A. 1 1988 Sur l’équation différentielle du second ordre satisfaite par une classe de polynômes orthogonaux semi-classiques. (On the second order differential equation satisfied by a class of semi-classical orthogonal polynomials). Zbl 0621.33014Ronveaux, André 11 1987 Discrete semi-classical orthogonal polynomials: generalized Meixner. Zbl 0591.42015Ronveaux, A. 13 1986 On nonbijective canonical transformations in mathematical physics. Zbl 0709.53512Lambert, D.; Kibler, M.; Ronveaux, A. 1 1986 Polynômes orthogonaux et applications. Proceedings of the Laguerre Symposium held at Bar-le-Duc, France, October 15-18, 1984. Zbl 0572.00007Brezinski, C. (ed.); Draux, A. (ed.); Magnus, A. P. (ed.); Marino, P. (ed.); Ronveaux, A. (ed.) 1 1985 ...and 9 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 710 Authors 69 Marcellán Español, Francisco 66 Ronveaux, André 45 Area, Iván 42 Godoy, Eduardo Paciência 29 Zarzo, Alejandro 22 Foupouagnigni, Mama 19 Bakke, Knut 17 Lewanowicz, Stanisław 16 Ishkhanyan, Artur Michaĭlovich 15 Koepf, Wolfram A. 14 Moreno-Balcázar, Juan José 13 Dehesa, Jesús S. 13 Dimitrov, Dimitar K. 12 Álvarez-Nodarse, Renato 12 Duran, Antonio J. 11 Hod, Shahar 11 Martínez-Finkelshtein, Andrei 10 Van Assche, Walter 10 Vieira, H. S. 9 Kwon, Kil Hyun 8 Alfaro García, Manuel 8 Belich, Humberto 8 Bezerra, Valdir B. 8 Chaggara, Hamza 8 Dueñas, Herbert 8 Filipuk, Galina V. 8 Hounkonnou, Mahouton Norbert 8 Rezola, María Luisa 7 Ben Cheikh, Youssèf 7 Branquinho, Amílcar José Pinto Lopes 7 Huertas Cejudo, Edmundo José 7 López, José Luis 7 Rafaeli, Fernando Rodrigo 7 Vitória, R. L. L. 7 Woźny, Paweł 6 Ahmed, Faizuddin 6 Bavinck, Herman 6 Birkandan, Tolga 6 Chen, Yang 6 Dominici, Diego Ernesto 6 Dong, Shihai 6 Ismail, Mourad El-Houssieny 6 Maroni, Pascal 6 Piñar, Miguel A. 6 Takemura, Kouichi 6 Tcheutia, Daniel Duviol 6 Zhedanov, Alexei S. 5 Atia, Mohamed Jalel 5 Batic, Davide 5 Belmehdi, Said 5 Doha, Eid H. 5 Ferreira, Chelo 5 Hortaçsu, M. 5 Jordaan, Kerstin 5 Letessier, Jean 5 Littlejohn, Lance L. 5 Magnus, Alphonse Ph. 5 Mañas-Mañas, Juan F. 5 Masjed-Jamei, Mohammad 5 Peña, Ana 5 Pérez, Teresa E. 5 Quintana, Yamilet 5 Rebocho, M. N. 5 Sánchez-Ruiz, Jorge 5 Sun, Guohua 4 Abd-Elhameed, Waleed Mohamed 4 Aktaş, Rabia 4 Arvesú, Jorge 4 Barrio, Raúl 4 Castillo, Kenier 4 Cunha, M. S. 4 da Rocha, Zélia 4 El-Jaick, Léa Jaccoud 4 Esposito, Giampiero 4 Figueiredo, Bartolomeu D. B. 4 García-Caballero, Esther M. 4 Garza, Luis E. 4 Hassanabadi, Hassan 4 Ishkhanyan, T. A. 4 Maier, Robert S. 4 Moreno, Samuel G. 4 Nowakowski, Marek 4 Sadjang, P. Njionou 4 Slavyanov, Sergeĭ Yur’evich 4 Vinet, Luc 4 Yáñez, Rafael J. 3 Ahmed, Hany M. 3 Alhaidari, Abdulaziz D. 3 Aptekarev, Alexander Ivanovich 3 Atakishiev, Natig M. 3 Ben Romdhane, Neila 3 Büyükkılıç, Fevzi 3 Dai, Wusheng 3 Dariescu, Ciprian 3 Dariescu, Marina-Aura 3 de Montigny, Marc 3 Demirhan, Doǧan 3 Derevyagin, Maxim S. 3 Domínguez de la Iglesia, Manuel 3 Dong, Qian ...and 610 more Authors all top 5 Cited in 153 Serials 124 Journal of Computational and Applied Mathematics 51 Journal of Mathematical Physics 37 Journal of Approximation Theory 33 Integral Transforms and Special Functions 32 Applied Mathematics and Computation 30 Journal of Mathematical Analysis and Applications 27 Annals of Physics 23 Journal of Difference Equations and Applications 21 Numerical Algorithms 15 General Relativity and Gravitation 12 Modern Physics Letters A 12 Advances in High Energy Physics 11 Physics Letters. B 11 Theoretical and Mathematical Physics 10 Physics Letters. 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