Edit Profile (opens in new tab) de Bruin, Marcel G. Co-Author Distance Author ID: de-bruin.marcel-g Published as: de Bruin, Marcel G.; de Bruin, M. G.; De Bruin, Marcel G.; De Bruin, M. G.; de Bruin, Marcelis Gerrit; de Bruin, Marcel; Bruin, M. G. more...less Homepage: https://homepage.tudelft.nl/11r49/collega/marcel_en.html External Links: MGP Documents Indexed: 64 Publications since 1973, including 1 Book 3 Contributions as Editor Reviewing Activity: 765 Reviews Co-Authors: 20 Co-Authors with 35 Joint Publications 733 Co-Co-Authors all top 5 Co-Authors 32 single-authored 11 Sharma, Ambikeshwar 4 Mache, Detlef-Hauke 4 Meijer, Henk G. 3 Dikshit, Hanuman Prasad 3 Saff, Edward Barry 3 van Rossum, Herman 3 Varga, Richard Steven 2 Driver, Kathy A. 2 Groenevelt, Wolter G. M. 2 Kamminga, Cees 2 Lorentzen, Lisa 2 Lubinsky, Doron S. 2 Szabados, Jozsef 1 Gilewicz, Jacek 1 Ivanov, Kamen G. 1 Koekoek, Roelof 1 Marcellán Español, Francisco 1 Moreno-Balcázar, Juan José 1 Runckel, Hans-Joachim 1 van den Esker, Henri all top 5 Serials 14 Journal of Computational and Applied Mathematics 5 Numerical Algorithms 2 Rocky Mountain Journal of Mathematics 2 Indagationes Mathematicae 2 Nieuw Archief voor Wiskunde. Derde Serie 2 Annals of Numerical Mathematics 2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Bulletin of the Australian Mathematical Society 1 Applied Mathematics and Computation 1 Journal of Approximation Theory 1 The Journal of the Indian Mathematical Society. New Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Analysis 1 Journal of National Academy of Mathematics, India 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Pattern Recognition Letters 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 Journal of Inequalities and Applications 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Computational Methods and Function Theory 1 ISNM. International Series of Numerical Mathematics 1 Lecture Notes in Mathematics all top 5 Fields 46 Approximations and expansions (41-XX) 23 Functions of a complex variable (30-XX) 11 Special functions (33-XX) 10 Numerical analysis (65-XX) 9 Sequences, series, summability (40-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 229 times in 154 Documents Cited by ▼ Year ▼ Simultaneous Padé approximation and orthogonality. Zbl 0587.41013 de Bruin, Marcel G. 27 1985 Generalized C-fractions and a multidimensional Padé table. Diss. Zbl 0273.41028 de Bruin, Marcelis Gerrit 20 1974 Zeros of Sobolev orthogonal polynomials following from coherent pairs. Zbl 1005.42015 Meijer, H. G.; de Bruin, M. G. 13 2002 Convergence of generalized c-fractions. Zbl 0405.41007 de Bruin, M. G. 13 1978 On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004 de Bruin, M. G.; Saff, E. B.; Varga, R. S. 11 1981 Birkhoff type interpolation on perturbed roots of unity. Zbl 0907.41001 de Bruin, M. G.; Sharma, A.; Szabados, J. 9 1998 Birkhoff interpolation on unity and on Möbius transform of the roots of unity. Zbl 0961.41002 de Bruin, M. G.; Dikshit, H. P.; Sharma, A. 7 2000 On the zeros of generalized Bessel polynomials. I. Zbl 0467.33003 de Bruin, M. G.; Saff, E. B.; Varga, R. S. 7 1981 Zeros of Sobolev orthogonal polynomials of Hermite type. Zbl 1024.33004 de Bruin, M. G.; Groenevelt, W. G. M.; Meijer, H. G. 7 2002 Birkhoff interpolation on nonuniformly distributed points. Zbl 1104.41003 de Bruin, M. G.; Dikshit, H. P. 7 2002 Regularity of some ‘incomplete’ Pál-type interpolation problems. Zbl 0999.41004 de Bruin, Marcel G. 7 2002 Zeros of orthogonal polynomials in a non-discrete Sobolev space. Zbl 0833.33009 de Bruin, M. G.; Meijer, H. G. 6 1995 Convergence in the Padé table for \(_1F_1(1;c;x)\). Zbl 0339.33003 de Bruin, M. G. 6 1976 \((0,m)\) Pál-type interpolation: interchanging value- and derivative-nodes. Zbl 1068.41008 de Bruin, Marcel G. 6 2005 An algorithm for calculating generalized continued fractions. Zbl 0438.65105 de Bruin, M. G. 6 1978 On a Schoenberg-type conjecture. Zbl 0945.30003 de Bruin, M. G.; Sharma, A. 5 1999 Birkhoff interpolation on perturbed roots of unity on the unit circle. Zbl 0940.30016 de Bruin, Marcel G.; Sharma, A. 5 1997 Pál-type Birkhoff interpolation on nonuniformly distributed points. Zbl 1083.41001 Bruin, M. G.; Dikshit, H. P. 5 2005 Some aspects of simultaneous rational approximation. Zbl 0733.41025 de Bruin, Marcel G. 5 1990 A tool for locating zeros of orthogonal polynomials in Sobolev inner product spaces. Zbl 0792.42010 De Bruin, Marcel G. 5 1993 Some explicit formulae in simultaneous Padé approximation. Zbl 0556.65006 de Bruin, Marcel G. 4 1984 \((0,m)\) Pál-type interpolation on the Möbius transform of roots of unity. Zbl 1086.41004 de Bruin, Marcel G. 4 2005 Polynomials orthogonal on a circular arc. Zbl 0701.33009 de Bruin, Marcel G. 4 1990 Convergence along steplines in a generalized Padé table. Zbl 0368.41009 de Bruin, M. G. 4 1977 The interruption phenomenon for generalized continued fractions. Zbl 0392.10009 de Bruin, M. G. 4 1978 New convergence results for continued fractions generated by four-term recurrence relations. Zbl 0519.40005 de Bruin, Marcel G. 3 1983 A conjecture of Schoenberg. Zbl 0954.30002 de Bruin, M. G.; Ivanov, K. G.; Sharma, A. 3 1999 Interpolation on non-uniformly distributed nodes. Zbl 1042.41500 de Bruin, Marcel G. 3 2001 The dominance concept for linear recurrence relations with applications to continued fractions. Zbl 0595.40002 de Bruin, M. G.; Jacobsen, L. 3 1985 Asymptotics and zeros of symmetrically coherent pairs of Hermite type. Zbl 1214.42053 de Bruin, M. G.; Groenevelt, W. G. M.; Marcellán, F.; Meijer, H. G.; Moreno-Balcázar, J. J. 3 2007 Generalized Padé tables and some algorithms therein. Zbl 0536.65010 de Bruin, Marcel G. 2 1982 Birkhoff interpolation on non-uniformly distributed roots of unity. Zbl 1001.41002 de Bruin, Marcel G.; Sharma, A. 2 2000 Birkhoff interpolation on nonuniformly distributed roots of unity. II. Zbl 1152.41302 de Bruin, Marcel G.; Sharma, A. 2 2001 Formal Padé approximation. Zbl 0311.41011 de Bruin, M. G.; van Rossum, H. 2 1975 Simultaneous partial Padé approximants. Zbl 0633.41015 De Bruin, Marcel G. 1 1988 Simultaneous rational approximation to some q-hypergeometric functions. Zbl 0662.41013 de Bruin, Marcel G. 1 1988 Some convergence results in simultaneous rational approximation to the set of hypergeometric functions \(\{_ 1F_ 1(1;c_ i;z)\}^ n_{i=1}\). Zbl 0546.41017 de Bruin, Marcel G. 1 1984 Zeros of polynomials generated by 4-term recurrence relations. Zbl 0554.41024 de Bruin, Marcel G. 1 1984 Some classes of Padé tables whose upper halves are normal. Zbl 0358.30003 de Bruin, M. G. 1 1977 Sudden symmetry in simultaneous approximation. Zbl 0699.30002 de Bruin, M. G. 1 1989 Padé approximation and its applications, Amsterdam 1980. Proceedings of a Conference Held in Amsterdam, The Netherlands, October 29-31, 1980. Zbl 0465.00012 1 1981 Convergence of simultaneous Hermite-Padé approximants to the \(n\)-tuple of \(q\)-hypergeometric series \(\{_ 1\Phi_ 1 (_{c,\gamma_ j}^{(1,1)};z)\}_{j=1}^ n\). Zbl 0786.33010 de Bruin, M. G.; Driver, K. A.; Lubinsky, D. S. 1 1992 Convergence of simultaneous Hermite-Padé approximants to the \(n\)-tuple of \(q\)-hypergeometric series \(\{_ 2\Phi_ 0((A,\alpha_ j), (1,1);z)\}_{j=1}^ n\). Zbl 0794.65015 De Bruin, M. G.; Driver, K. A.; Lubinsky, D. S. 1 1993 Asymptotics and zeros of symmetrically coherent pairs of Hermite type. Zbl 1214.42053 de Bruin, M. G.; Groenevelt, W. G. M.; Marcellán, F.; Meijer, H. G.; Moreno-Balcázar, J. J. 3 2007 \((0,m)\) Pál-type interpolation: interchanging value- and derivative-nodes. Zbl 1068.41008 de Bruin, Marcel G. 6 2005 Pál-type Birkhoff interpolation on nonuniformly distributed points. Zbl 1083.41001 Bruin, M. G.; Dikshit, H. P. 5 2005 \((0,m)\) Pál-type interpolation on the Möbius transform of roots of unity. Zbl 1086.41004 de Bruin, Marcel G. 4 2005 Zeros of Sobolev orthogonal polynomials following from coherent pairs. Zbl 1005.42015 Meijer, H. G.; de Bruin, M. G. 13 2002 Zeros of Sobolev orthogonal polynomials of Hermite type. Zbl 1024.33004 de Bruin, M. G.; Groenevelt, W. G. M.; Meijer, H. G. 7 2002 Birkhoff interpolation on nonuniformly distributed points. Zbl 1104.41003 de Bruin, M. G.; Dikshit, H. P. 7 2002 Regularity of some ‘incomplete’ Pál-type interpolation problems. Zbl 0999.41004 de Bruin, Marcel G. 7 2002 Interpolation on non-uniformly distributed nodes. Zbl 1042.41500 de Bruin, Marcel G. 3 2001 Birkhoff interpolation on nonuniformly distributed roots of unity. II. Zbl 1152.41302 de Bruin, Marcel G.; Sharma, A. 2 2001 Birkhoff interpolation on unity and on Möbius transform of the roots of unity. Zbl 0961.41002 de Bruin, M. G.; Dikshit, H. P.; Sharma, A. 7 2000 Birkhoff interpolation on non-uniformly distributed roots of unity. Zbl 1001.41002 de Bruin, Marcel G.; Sharma, A. 2 2000 On a Schoenberg-type conjecture. Zbl 0945.30003 de Bruin, M. G.; Sharma, A. 5 1999 A conjecture of Schoenberg. Zbl 0954.30002 de Bruin, M. G.; Ivanov, K. G.; Sharma, A. 3 1999 Birkhoff type interpolation on perturbed roots of unity. Zbl 0907.41001 de Bruin, M. G.; Sharma, A.; Szabados, J. 9 1998 Birkhoff interpolation on perturbed roots of unity on the unit circle. Zbl 0940.30016 de Bruin, Marcel G.; Sharma, A. 5 1997 Zeros of orthogonal polynomials in a non-discrete Sobolev space. Zbl 0833.33009 de Bruin, M. G.; Meijer, H. G. 6 1995 A tool for locating zeros of orthogonal polynomials in Sobolev inner product spaces. Zbl 0792.42010 De Bruin, Marcel G. 5 1993 Convergence of simultaneous Hermite-Padé approximants to the \(n\)-tuple of \(q\)-hypergeometric series \(\{_ 2\Phi_ 0((A,\alpha_ j), (1,1);z)\}_{j=1}^ n\). Zbl 0794.65015 De Bruin, M. G.; Driver, K. A.; Lubinsky, D. S. 1 1993 Convergence of simultaneous Hermite-Padé approximants to the \(n\)-tuple of \(q\)-hypergeometric series \(\{_ 1\Phi_ 1 (_{c,\gamma_ j}^{(1,1)};z)\}_{j=1}^ n\). Zbl 0786.33010 de Bruin, M. G.; Driver, K. A.; Lubinsky, D. S. 1 1992 Some aspects of simultaneous rational approximation. Zbl 0733.41025 de Bruin, Marcel G. 5 1990 Polynomials orthogonal on a circular arc. Zbl 0701.33009 de Bruin, Marcel G. 4 1990 Sudden symmetry in simultaneous approximation. Zbl 0699.30002 de Bruin, M. G. 1 1989 Simultaneous partial Padé approximants. Zbl 0633.41015 De Bruin, Marcel G. 1 1988 Simultaneous rational approximation to some q-hypergeometric functions. Zbl 0662.41013 de Bruin, Marcel G. 1 1988 Simultaneous Padé approximation and orthogonality. Zbl 0587.41013 de Bruin, Marcel G. 27 1985 The dominance concept for linear recurrence relations with applications to continued fractions. Zbl 0595.40002 de Bruin, M. G.; Jacobsen, L. 3 1985 Some explicit formulae in simultaneous Padé approximation. Zbl 0556.65006 de Bruin, Marcel G. 4 1984 Some convergence results in simultaneous rational approximation to the set of hypergeometric functions \(\{_ 1F_ 1(1;c_ i;z)\}^ n_{i=1}\). Zbl 0546.41017 de Bruin, Marcel G. 1 1984 Zeros of polynomials generated by 4-term recurrence relations. Zbl 0554.41024 de Bruin, Marcel G. 1 1984 New convergence results for continued fractions generated by four-term recurrence relations. Zbl 0519.40005 de Bruin, Marcel G. 3 1983 Generalized Padé tables and some algorithms therein. Zbl 0536.65010 de Bruin, Marcel G. 2 1982 On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004 de Bruin, M. G.; Saff, E. B.; Varga, R. S. 11 1981 On the zeros of generalized Bessel polynomials. I. Zbl 0467.33003 de Bruin, M. G.; Saff, E. B.; Varga, R. S. 7 1981 Padé approximation and its applications, Amsterdam 1980. Proceedings of a Conference Held in Amsterdam, The Netherlands, October 29-31, 1980. Zbl 0465.00012 1 1981 Convergence of generalized c-fractions. Zbl 0405.41007 de Bruin, M. G. 13 1978 An algorithm for calculating generalized continued fractions. Zbl 0438.65105 de Bruin, M. G. 6 1978 The interruption phenomenon for generalized continued fractions. Zbl 0392.10009 de Bruin, M. G. 4 1978 Convergence along steplines in a generalized Padé table. Zbl 0368.41009 de Bruin, M. G. 4 1977 Some classes of Padé tables whose upper halves are normal. Zbl 0358.30003 de Bruin, M. G. 1 1977 Convergence in the Padé table for \(_1F_1(1;c;x)\). Zbl 0339.33003 de Bruin, M. G. 6 1976 Formal Padé approximation. Zbl 0311.41011 de Bruin, M. G.; van Rossum, H. 2 1975 Generalized C-fractions and a multidimensional Padé table. Diss. Zbl 0273.41028 de Bruin, Marcelis Gerrit 20 1974 all cited Publications top 5 cited Publications all top 5 Cited by 172 Authors 17 de Bruin, Marcel G. 11 Marcellán Español, Francisco 8 Levrie, Paul 4 Ben Cheikh, Youssèf 4 Bultheel, Adhemar François 4 Lamiri, Imed 4 Milovanović, Gradimir V. 4 Pathak, Anil Kumar 4 Sri Ranga, Alagacone 4 Van Assche, Walter 4 van der Cruyssen, Paul 3 Fejzullahu, Bujar Xh. 3 Moreno-Balcázar, Juan José 3 Sharma, Ambikeshwar 3 Starovoĭtov, Aleksandr Pavlovich 3 Van Iseghem, Jeannette 2 Alfaro García, Manuel 2 Bahadur, Swarnima 2 Baumann, Hendrik 2 Beckermann, Bernhard 2 Berriochoa, Elías 2 Boukhemis, Ammar 2 Boussorra, Salma 2 Cachafeiro, Alicia 2 Castillo, Kenier 2 Chaggara, Hamza 2 Coussement, Els 2 Coussement, Jonathan 2 Dikshit, Hanuman Prasad 2 Driver, Kathy A. 2 Garza, Luis E. 2 Khorozov, Emil Ivanov 2 Labahn, George 2 Lorentzen, Lisa 2 Lubinsky, Doron S. 2 Magnus, Alphonse Ph. 2 Mandloi, Anita 2 Marcato, Gustavo A. 2 Ouni, Abdelwaheb 2 Rezola, María Luisa 2 Ryabov, Viktor Mikhaĭlovich 2 Tiwari, Poornima 2 Van Barel, Marc 2 Varun, V. L. 2 Weslati, Jihen 2 Zaghouani, Ali 1 Abdelkader, Emna 1 Ait-Haddou, Rachid 1 Amiraslani, Amir 1 Amor, J. M. García 1 Aptekarev, Alexander Ivanovich 1 Baker, George Allen jun. 1 Batkhin, Alexandr B. 1 Ben Romdhane, Neila 1 Bilanyk, I. B. 1 Bodnar, D. I. 1 Borwein, Peter Benjamin 1 Bracciali, Cleonice Fátima 1 Branquinho, Amílcar José Pinto Lopes 1 Brezinski, Claude 1 Bruno, Alexander Dmitrievich 1 Buyak, L. M. 1 Cabay, Stan 1 Calderón, Marisol L. 1 Campos, Rafael G. 1 Carpenter, Amos J. 1 Chai, Junjie 1 Cheung, Waishun 1 Cuyt, Annie A. M. 1 Cvetković, Aleksandar S. 1 de Andrade, Eliana X. L. 1 Díaz-González, Abel 1 Dinu, Victor 1 D’Oliveira, Augusto Brandao 1 Dominici, Diego Ernesto 1 Douak, Khalfa 1 Drapeza, A. A. 1 Dueñas Ruiz, Herbert 1 Faßbender, Heike 1 Foulquié Moreno, Ana Pilar 1 Fuentes, Edinson 1 García-Amor, José M. 1 Garza, Lino G. 1 Genest, Vincent X. 1 Gerck, Edgardo 1 Gilewicz, Jacek 1 Golub, Anatoly P. 1 González-Vera, Pablo 1 Graves-Morris, Peter R. 1 Groenevelt, Wolter G. M. 1 Hanschke, Thomas 1 Hendriksen, Erik 1 Ifantis, Evangelos K. 1 Iserles, Arieh 1 Jensen, Arne 1 Jiang, Zhaolin 1 Jiménez Paiz, Mateo M. 1 Jones, William Branham 1 Kaliaguine, Valeri A. 1 Kechko, Elena Petrovna ...and 72 more Authors all top 5 Cited in 51 Serials 43 Journal of Computational and Applied Mathematics 13 Journal of Approximation Theory 11 Journal of Mathematical Analysis and Applications 10 Numerical Algorithms 9 Applied Numerical Mathematics 4 Transactions of the American Mathematical Society 3 Rocky Mountain Journal of Mathematics 3 Numerische Mathematik 3 Acta Applicandae Mathematicae 3 Integral Transforms and Special Functions 2 Proceedings of the American Mathematical Society 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Georgian Mathematical Journal 2 Journal of Inequalities and Applications 2 Applied Mathematics E-Notes 2 Computational Methods and Function Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Reviews in Mathematical Physics 1 Applied Mathematics and Computation 1 Calcolo 1 Computing 1 Gaṇita 1 International Journal of Mathematics and Mathematical Sciences 1 The Journal of the Indian Mathematical Society. New Series 1 Monatshefte für Mathematik 1 Studies in Applied Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Constructive Approximation 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Applicationes Mathematicae 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 The Ramanujan Journal 1 Regular and Chaotic Dynamics 1 Lobachevskii Journal of Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Advances in Difference Equations 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematical Inequalities 1 Problemy Fiziki, Matematiki i Tekhniki 1 Carpathian Mathematical Publications all top 5 Cited in 21 Fields 61 Special functions (33-XX) 57 Approximations and expansions (41-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 41 Functions of a complex variable (30-XX) 31 Numerical analysis (65-XX) 20 Sequences, series, summability (40-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Number theory (11-XX) 7 Ordinary differential equations (34-XX) 5 Integral transforms, operational calculus (44-XX) 5 Operator theory (47-XX) 4 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Algebraic geometry (14-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) Citations by Year