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de Bruin, Marcel G.

Author ID: de-bruin.marcel-g Recent zbMATH articles by "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.
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: 770 Reviews
Co-Authors: 20 Co-Authors with 35 Joint Publications
632 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 267 times in 177 Documents Cited by Year
Simultaneous Padé approximation and orthogonality. Zbl 0587.41013
de Bruin, Marcel G.
43
1985
Generalized C-fractions and a multidimensional Padé table. Diss. Zbl 0273.41028
de Bruin, Marcelis Gerrit
22
1974
Convergence of generalized c-fractions. Zbl 0405.41007
de Bruin, M. G.
14
1978
Zeros of Sobolev orthogonal polynomials following from coherent pairs. Zbl 1005.42015
Meijer, H. G.; de Bruin, M. G.
14
2002
Some aspects of simultaneous rational approximation. Zbl 0733.41025
de Bruin, Marcel G.
13
1990
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
On the zeros of generalized Bessel polynomials. I. Zbl 0467.33003
de Bruin, M. G.; Saff, E. B.; Varga, R. S.
7
1981
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
Zeros of Sobolev orthogonal polynomials of Hermite type. Zbl 1024.33004
de Bruin, M. G.; Groenevelt, W. G. M.; Meijer, H. G.
7
2002
Regularity of some ‘incomplete’ Pál-type interpolation problems. Zbl 0999.41004
de Bruin, Marcel G.
7
2002
Birkhoff interpolation on nonuniformly distributed points. Zbl 1104.41003
de Bruin, M. G.; Dikshit, H. P.
7
2002
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.
6
1984
Zeros of orthogonal polynomials in a non-discrete Sobolev space. Zbl 0833.33009
de Bruin, M. G.; Meijer, H. G.
6
1995
An algorithm for calculating generalized continued fractions. Zbl 0438.65105
de Bruin, M. G.
6
1978
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
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
A tool for locating zeros of orthogonal polynomials in Sobolev inner product spaces. Zbl 0792.42010
De Bruin, Marcel G.
5
1993
Pál-type Birkhoff interpolation on nonuniformly distributed points. Zbl 1083.41001
Bruin, M. G.; Dikshit, H. P.
5
2005
Some explicit formulae in simultaneous Padé approximation. Zbl 0556.65006
de Bruin, Marcel G.
4
1984
A conjecture of Schoenberg. Zbl 0954.30002
de Bruin, M. G.; Ivanov, K. G.; Sharma, A.
4
1999
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
Polynomials orthogonal on a circular arc. Zbl 0701.33009
de Bruin, Marcel G.
4
1990
\((0,m)\) Pál-type interpolation on the Möbius transform of roots of unity. Zbl 1086.41004
de Bruin, Marcel G.
4
2005
New convergence results for continued fractions generated by four-term recurrence relations. Zbl 0519.40005
de Bruin, Marcel G.
3
1983
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
Interpolation on non-uniformly distributed nodes. Zbl 1042.41500
de Bruin, Marcel G.
3
2001
Modification of generalized continued fractions. I: Definition and application to the limit-periodic case. Zbl 0663.30004
de Bruin, Marcel G.; Jacobsen, Lisa
2
1987
Generalized Padé tables and some algorithms therein. Zbl 0536.65010
de Bruin, Marcel G.
2
1982
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
Birkhoff interpolation on non-uniformly distributed roots of unity. Zbl 1001.41002
de Bruin, Marcel G.; Sharma, A.
2
2000
Simultaneous rational approximation to some q-hypergeometric functions. Zbl 0662.41013
de Bruin, Marcel G.
2
1988
Simultaneous partial Padé approximants. Zbl 0633.41015
De Bruin, Marcel G.
1
1988
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
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
Some classes of Padé tables whose upper halves are normal. Zbl 0358.30003
de Bruin, M. G.
1
1977
Zeros of polynomials generated by 4-term recurrence relations. Zbl 0554.41024
de Bruin, Marcel G.
1
1984
Sudden symmetry in simultaneous approximation. Zbl 0699.30002
de Bruin, M. G.
1
1989
‘Classical’ convergence theorems for generalized continued fractions. Zbl 1125.40001
de Bruin, Marcel G.
1
2007
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
‘Classical’ convergence theorems for generalized continued fractions. Zbl 1125.40001
de Bruin, Marcel G.
1
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.
14
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
Regularity of some ‘incomplete’ Pál-type interpolation problems. Zbl 0999.41004
de Bruin, Marcel G.
7
2002
Birkhoff interpolation on nonuniformly distributed points. Zbl 1104.41003
de Bruin, M. G.; Dikshit, H. P.
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.
4
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.
13
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 rational approximation to some q-hypergeometric functions. Zbl 0662.41013
de Bruin, Marcel G.
2
1988
Simultaneous partial Padé approximants. Zbl 0633.41015
De Bruin, Marcel G.
1
1988
Modification of generalized continued fractions. I: Definition and application to the limit-periodic case. Zbl 0663.30004
de Bruin, Marcel G.; Jacobsen, Lisa
2
1987
Simultaneous Padé approximation and orthogonality. Zbl 0587.41013
de Bruin, Marcel G.
43
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 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.
6
1984
Some explicit formulae in simultaneous Padé approximation. Zbl 0556.65006
de Bruin, Marcel G.
4
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.
14
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
22
1974
all top 5

Cited by 184 Authors

19 de Bruin, Marcel G.
11 Marcellán Español, Francisco
8 Levrie, Paul
6 Van Assche, Walter
5 Bultheel, Adhemar François
5 Driver, Kathy A.
4 Ben Cheikh, Youssèf
4 Graves-Morris, Peter R.
4 Lamiri, Imed
4 Lubinsky, Doron S.
4 Milovanović, Gradimir V.
4 Pathak, Anil Kumar
4 Sharma, Ambikeshwar
4 Sri Ranga, Alagacone
4 van der Cruyssen, Paul
4 Van Iseghem, Jeannette
3 Baumann, Hendrik
3 Beckermann, Bernhard
3 Chaggara, Hamza
3 Coussement, Jonathan
3 Fejzullahu, Bujar Xh.
3 Khorozov, Emil Ivanov
3 Labahn, George
3 Magnus, Alphonse Ph.
3 Moreno-Balcázar, Juan José
3 Stanić, Marija P.
3 Starovoĭtov, Aleksandr Pavlovich
3 Van Barel, Marc
2 Alfaro García, Manuel
2 Aptekarev, Alexander Ivanovich
2 Bahadur, Swarnima
2 Berriochoa, Elías
2 Boukhemis, Ammar
2 Boussorra, Salma
2 Cachafeiro, Alicia
2 Castillo, Kenier
2 Coussement, Els
2 Cuyt, Annie A. M.
2 Dikshit, Hanuman Prasad
2 Garza, Luis E.
2 Hanschke, Thomas
2 Kaliaguine, Valeri A.
2 Lorentzen, Lisa
2 Mandloi, Anita
2 Marcato, Gustavo A.
2 Mbarki, Radhouan
2 Ouni, Abdelwaheb
2 Rezola, María Luisa
2 Roberts, D. E.
2 Ryabov, Viktor Mikhaĭlovich
2 Tiwari, Poornima
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 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 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 Groenevelt, Wolter G. M.
1 Hendriksen, Erik
1 Ifantis, Evangelos K.
1 Iserles, Arieh
1 Jensen, Arne
1 Jiang, Zhaolin
...and 84 more Authors
all top 5

Cited in 55 Serials

54 Journal of Computational and Applied Mathematics
17 Journal of Approximation Theory
11 Journal of Mathematical Analysis and Applications
10 Numerical Algorithms
9 Applied Numerical Mathematics
4 Numerische Mathematik
4 Transactions of the American Mathematical Society
3 Rocky Mountain Journal of Mathematics
3 Acta Applicandae Mathematicae
3 Indagationes Mathematicae. New Series
3 Integral Transforms and Special Functions
2 Applied Mathematics and Computation
2 Proceedings of the American Mathematical Society
2 Constructive Approximation
2 Linear Algebra and its Applications
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 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 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 Journal of Difference Equations and Applications
1 The Ramanujan Journal
1 Regular and Chaotic Dynamics
1 Lobachevskii Journal of Mathematics
1 Journal of Applied 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
1 Transactions of the American Mathematical Society. Series B
1 La Matematica

Citations by Year