Edit Profile (opens in new tab) de Bruin, Marcel G. Compute Distance To: Compute 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: 744 Reviews Co-Authors: 20 Co-Authors with 35 Joint Publications 715 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 Jacobsen, Lisa 2 Kamminga, Cees 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 40 Publications have been cited 204 times in 135 Documents Cited by ▼ Year ▼ Generalized C-fractions and a multidimensional Padé table. Diss. Zbl 0273.41028de Bruin, Marcelis Gerrit 20 1974 Simultaneous Padé approximation and orthogonality. Zbl 0587.41013de Bruin, Marcel G. 14 1985 Convergence of generalized c-fractions. Zbl 0405.41007de Bruin, M. G. 13 1978 Zeros of Sobolev orthogonal polynomials following from coherent pairs. Zbl 1005.42015Meijer, H. G.; de Bruin, M. G. 11 2002 On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004de Bruin, M. G.; Saff, E. B.; Varga, R. S. 10 1981 Birkhoff type interpolation on perturbed roots of unity. Zbl 0907.41001de Bruin, M. G.; Sharma, A.; Szabados, J. 9 1998 On the zeros of generalized Bessel polynomials. I. Zbl 0467.33003de Bruin, M. G.; Saff, E. B.; Varga, R. S. 7 1981 Zeros of Sobolev orthogonal polynomials of Hermite type. Zbl 1024.33004de Bruin, M. G.; Groenevelt, W. G. M.; Meijer, H. G. 7 2002 Regularity of some ‘incomplete’ Pál-type interpolation problems. Zbl 0999.41004de Bruin, Marcel G. 7 2002 Birkhoff interpolation on nonuniformly distributed points. Zbl 1104.41003de Bruin, M. G.; Dikshit, H. P. 7 2002 Birkhoff interpolation on unity and on Möbius transform of the roots of unity. Zbl 0961.41002de Bruin, M. G.; Dikshit, H. P.; Sharma, A. 6 2000 Zeros of orthogonal polynomials in a non-discrete Sobolev space. Zbl 0833.33009de Bruin, M. G.; Meijer, H. G. 6 1995 Convergence in the Padé table for \(_1F_1(1;c;x)\). Zbl 0339.33003de Bruin, M. G. 6 1976 An algorithm for calculating generalized continued fractions. Zbl 0438.65105de Bruin, M. G. 6 1978 Birkhoff interpolation on perturbed roots of unity on the unit circle. Zbl 0940.30016de Bruin, Marcel G.; Sharma, A. 5 1997 A tool for locating zeros of orthogonal polynomials in Sobolev inner product spaces. Zbl 0792.42010De Bruin, Marcel G. 5 1993 Some aspects of simultaneous rational approximation. Zbl 0733.41025de Bruin, Marcel G. 5 1990 \((0,m)\) Pál-type interpolation on the Möbius transform of roots of unity. Zbl 1086.41004de Bruin, Marcel G. 4 2005 \((0,m)\) Pál-type interpolation: interchanging value- and derivative-nodes. Zbl 1068.41008de Bruin, Marcel G. 4 2005 Convergence along steplines in a generalized Padé table. Zbl 0368.41009de Bruin, M. G. 4 1977 On a Schoenberg-type conjecture. Zbl 0945.30003de Bruin, M. G.; Sharma, A. 4 1999 The interruption phenomenon for generalized continued fractions. Zbl 0392.10009de Bruin, M. G. 4 1978 Some explicit formulae in simultaneous Padé approximation. Zbl 0556.65006de Bruin, Marcel G. 4 1984 Pál-type Birkhoff interpolation on nonuniformly distributed points. Zbl 1083.41001Bruin, M. G.; Dikshit, H. P. 4 2005 The dominance concept for linear recurrence relations with applications to continued fractions. Zbl 0595.40002de Bruin, M. G.; Jacobsen, L. 3 1985 A conjecture of Schoenberg. Zbl 0954.30002de Bruin, M. G.; Ivanov, K. G.; Sharma, A. 3 1999 Interpolation on non-uniformly distributed nodes. Zbl 1042.41500de Bruin, Marcel G. 3 2001 Polynomials orthogonal on a circular arc. Zbl 0701.33009de Bruin, Marcel G. 3 1990 Asymptotics and zeros of symmetrically coherent pairs of Hermite type. Zbl 1214.42053de Bruin, M. G.; Groenevelt, W. G. M.; Marcellán, F.; Meijer, H. G.; Moreno-Balcázar, J. J. 3 2007 New convergence results for continued fractions generated by four-term recurrence relations. Zbl 0519.40005de Bruin, Marcel G. 3 1983 Birkhoff interpolation on non-uniformly distributed roots of unity. Zbl 1001.41002de Bruin, Marcel G.; Sharma, A. 2 2000 Birkhoff interpolation on nonuniformly distributed roots of unity. II. Zbl 1152.41302de Bruin, Marcel G.; Sharma, A. 2 2001 Formal Padé approximation. Zbl 0311.41011de Bruin, M. G.; van Rossum, H. 2 1975 Generalized Padé tables and some algorithms therein. Zbl 0536.65010de Bruin, Marcel G. 2 1982 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 0786.33010de 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 0794.65015De Bruin, M. G.; Driver, K. A.; Lubinsky, D. S. 1 1993 Simultaneous partial Padé approximants. Zbl 0633.41015De Bruin, Marcel G. 1 1988 Sudden symmetry in simultaneous approximation. Zbl 0699.30002de Bruin, M. G. 1 1989 Some classes of Padé tables whose upper halves are normal. Zbl 0358.30003de Bruin, M. G. 1 1977 Simultaneous rational approximation to some q-hypergeometric functions. Zbl 0662.41013de Bruin, Marcel G. 1 1988 Asymptotics and zeros of symmetrically coherent pairs of Hermite type. Zbl 1214.42053de Bruin, M. G.; Groenevelt, W. G. M.; Marcellán, F.; Meijer, H. G.; Moreno-Balcázar, J. J. 3 2007 \((0,m)\) Pál-type interpolation on the Möbius transform of roots of unity. Zbl 1086.41004de Bruin, Marcel G. 4 2005 \((0,m)\) Pál-type interpolation: interchanging value- and derivative-nodes. Zbl 1068.41008de Bruin, Marcel G. 4 2005 Pál-type Birkhoff interpolation on nonuniformly distributed points. Zbl 1083.41001Bruin, M. G.; Dikshit, H. P. 4 2005 Zeros of Sobolev orthogonal polynomials following from coherent pairs. Zbl 1005.42015Meijer, H. G.; de Bruin, M. G. 11 2002 Zeros of Sobolev orthogonal polynomials of Hermite type. Zbl 1024.33004de Bruin, M. G.; Groenevelt, W. G. M.; Meijer, H. G. 7 2002 Regularity of some ‘incomplete’ Pál-type interpolation problems. Zbl 0999.41004de Bruin, Marcel G. 7 2002 Birkhoff interpolation on nonuniformly distributed points. Zbl 1104.41003de Bruin, M. G.; Dikshit, H. P. 7 2002 Interpolation on non-uniformly distributed nodes. Zbl 1042.41500de Bruin, Marcel G. 3 2001 Birkhoff interpolation on nonuniformly distributed roots of unity. II. Zbl 1152.41302de Bruin, Marcel G.; Sharma, A. 2 2001 Birkhoff interpolation on unity and on Möbius transform of the roots of unity. Zbl 0961.41002de Bruin, M. G.; Dikshit, H. P.; Sharma, A. 6 2000 Birkhoff interpolation on non-uniformly distributed roots of unity. Zbl 1001.41002de Bruin, Marcel G.; Sharma, A. 2 2000 On a Schoenberg-type conjecture. Zbl 0945.30003de Bruin, M. G.; Sharma, A. 4 1999 A conjecture of Schoenberg. Zbl 0954.30002de Bruin, M. G.; Ivanov, K. G.; Sharma, A. 3 1999 Birkhoff type interpolation on perturbed roots of unity. Zbl 0907.41001de Bruin, M. G.; Sharma, A.; Szabados, J. 9 1998 Birkhoff interpolation on perturbed roots of unity on the unit circle. Zbl 0940.30016de Bruin, Marcel G.; Sharma, A. 5 1997 Zeros of orthogonal polynomials in a non-discrete Sobolev space. Zbl 0833.33009de Bruin, M. G.; Meijer, H. G. 6 1995 A tool for locating zeros of orthogonal polynomials in Sobolev inner product spaces. Zbl 0792.42010De 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 0794.65015De 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 0786.33010de Bruin, M. G.; Driver, K. A.; Lubinsky, D. S. 1 1992 Some aspects of simultaneous rational approximation. Zbl 0733.41025de Bruin, Marcel G. 5 1990 Polynomials orthogonal on a circular arc. Zbl 0701.33009de Bruin, Marcel G. 3 1990 Sudden symmetry in simultaneous approximation. Zbl 0699.30002de Bruin, M. G. 1 1989 Simultaneous partial Padé approximants. Zbl 0633.41015De Bruin, Marcel G. 1 1988 Simultaneous rational approximation to some q-hypergeometric functions. Zbl 0662.41013de Bruin, Marcel G. 1 1988 Simultaneous Padé approximation and orthogonality. Zbl 0587.41013de Bruin, Marcel G. 14 1985 The dominance concept for linear recurrence relations with applications to continued fractions. Zbl 0595.40002de Bruin, M. G.; Jacobsen, L. 3 1985 Some explicit formulae in simultaneous Padé approximation. Zbl 0556.65006de Bruin, Marcel G. 4 1984 New convergence results for continued fractions generated by four-term recurrence relations. Zbl 0519.40005de Bruin, Marcel G. 3 1983 Generalized Padé tables and some algorithms therein. Zbl 0536.65010de Bruin, Marcel G. 2 1982 On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004de Bruin, M. G.; Saff, E. B.; Varga, R. S. 10 1981 On the zeros of generalized Bessel polynomials. I. Zbl 0467.33003de Bruin, M. G.; Saff, E. B.; Varga, R. S. 7 1981 Convergence of generalized c-fractions. Zbl 0405.41007de Bruin, M. G. 13 1978 An algorithm for calculating generalized continued fractions. Zbl 0438.65105de Bruin, M. G. 6 1978 The interruption phenomenon for generalized continued fractions. Zbl 0392.10009de Bruin, M. G. 4 1978 Convergence along steplines in a generalized Padé table. Zbl 0368.41009de Bruin, M. G. 4 1977 Some classes of Padé tables whose upper halves are normal. Zbl 0358.30003de Bruin, M. G. 1 1977 Convergence in the Padé table for \(_1F_1(1;c;x)\). Zbl 0339.33003de Bruin, M. G. 6 1976 Formal Padé approximation. Zbl 0311.41011de Bruin, M. G.; van Rossum, H. 2 1975 Generalized C-fractions and a multidimensional Padé table. Diss. Zbl 0273.41028de Bruin, Marcelis Gerrit 20 1974 all cited Publications top 5 cited Publications all top 5 Cited by 156 Authors 16 de Bruin, Marcel G. 10 Marcellán Español, Francisco 8 Levrie, Paul 4 Bultheel, Adhemar François 4 Lamiri, Imed 4 Pathak, Anil Kumar 4 van der Cruyssen, Paul 3 Fejzullahu, Bujar Xh. 3 Milovanović, Gradimir V. 3 Moreno-Balcázar, Juan José 3 Sharma, Ambikeshwar 3 Starovoĭtov, Aleksandr Pavlovich 3 Van Iseghem, Jeannette 2 Alfaro García, Manuel 2 Baumann, Hendrik 2 Ben Cheikh, Youssèf 2 Berriochoa, Elías 2 Boukhemis, Ammar 2 Cachafeiro, Alicia 2 Castillo, Kenier 2 Dikshit, Hanuman Prasad 2 Driver, Kathy A. 2 Garza, Luis E. 2 Khorozov, Emil Ivanov 2 Jacobsen, Lisa 2 Labahn, George 2 Lubinsky, Doron S. 2 Magnus, Alphonse Ph. 2 Mandloi, Anita 2 Ouni, Abdelwaheb 2 Rezola, María Luisa 2 Sri Ranga, Alagacone 2 Tiwari, Poornima 2 Van Assche, Walter 2 Van Barel, Marc 2 Weslati, Jihen 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 Beckermann, Bernhard 1 Bilanyk, I. B. 1 Bodnar, D. I. 1 Borwein, Peter Benjamin 1 Boussorra, Salma 1 Bracciali, Cleonice Fátima 1 Branquinho, Amílcar José Pinto Lopes 1 Bruno, Alexander Dmitrievich 1 Buyak, L. M. 1 Cabay, Stan 1 Calderón, Marisol L. 1 Campos, Rafael G. 1 Carpenter, Amos J. 1 Chaggara, Hamza 1 Chai, Junjie 1 Cheung, Waishun 1 Coussement, Els 1 Coussement, Jonathan 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 Jiménez Paiz, Mateo M. 1 Jones, William Branham 1 Kaliaguine, Valeri A. 1 Kechko, Elena Petrovna 1 Khan, Subuhi 1 Komarov, Mikhaĭl Anatol’evich 1 Kuijlaars, Arno B. J. 1 Kushel, Olga Yur’evna 1 Kwon, Kil Hyun 1 Lebedeva, A. V. 1 Lei, Na 1 Leopold, Elie 1 Li, Ying ...and 56 more Authors all top 5 Cited in 45 Serials 38 Journal of Computational and Applied Mathematics 12 Journal of Approximation Theory 10 Numerical Algorithms 8 Journal of Mathematical Analysis and Applications 8 Applied Numerical Mathematics 4 Transactions of the American Mathematical Society 3 Rocky Mountain Journal of Mathematics 3 Numerische Mathematik 3 Acta Applicandae Mathematicae 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 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 Reviews in Mathematical Physics 1 Applied Mathematics and Computation 1 Computing 1 International Journal of Mathematics and Mathematical Sciences 1 The Journal of the Indian Mathematical Society. New Series 1 Monatshefte für Mathematik 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 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 The Ramanujan Journal 1 Regular and Chaotic Dynamics 1 Lobachevskii Journal of Mathematics 1 Applied Mathematics E-Notes 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 Problemy Fiziki, Matematiki i Tekhniki 1 Carpathian Mathematical Publications all top 5 Cited in 20 Fields 53 Approximations and expansions (41-XX) 48 Special functions (33-XX) 37 Functions of a complex variable (30-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 28 Numerical analysis (65-XX) 19 Sequences, series, summability (40-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Number theory (11-XX) 7 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 4 Integral transforms, operational calculus (44-XX) 3 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 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