Edit Profile (opens in new tab) Van Assche, Walter Co-Author Distance 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 · GND · IdRef Documents Indexed: 172 Publications since 1982, including 2 Books and 3 Additional arXiv Preprints 12 Contributions as Editor · 5 Further Contributions Reviewing Activity: 167 Reviews Co-Authors: 108 Co-Authors with 141 Joint Publications 2,547 Co-Co-Authors all top 5 Co-Authors 46 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 Schoutens, Wim 2 Sinap, Ann 2 Sri Ranga, Alagacone 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 20 more Co-Authors all top 5 Serials 32 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 Studies in Applied Mathematics 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 118 Special functions (33-XX) 114 Harmonic analysis on Euclidean spaces (42-XX) 42 Approximations and expansions (41-XX) 21 Difference and functional equations (39-XX) 20 Functions of a complex variable (30-XX) 15 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) 10 Probability theory and stochastic processes (60-XX) 8 History and biography (01-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Potential theory (31-XX) 7 Partial differential equations (35-XX) 7 Information and communication theory, circuits (94-XX) 6 Statistics (62-XX) 6 Quantum theory (81-XX) 5 Real functions (26-XX) 5 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 1 Topological groups, Lie groups (22-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 161 Publications have been cited 2,620 times in 1,436 Documents Cited by ▼ Year ▼ Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Zbl 1082.42016 Ismail, Mourad E. H. 482 2005 The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Zbl 1082.42017 Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M. 136 2004 Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Paperback reprint of the 2005 original. Zbl 1172.42008 Ismail, Mourad E. H. 115 2009 Orthogonal matrix polynomials and higher-order recurrence relations. Zbl 0827.15027 Durán, A. J.; Van Assche, Walter 96 1995 Multiple orthogonal polynomials for classical weights. Zbl 1033.33002 Aptekarev, A. I.; Branquinho, A.; Van Assche, W. 90 2003 Some classical multiple orthogonal polynomials. Zbl 0969.33005 Van Assche, Walter; Coussement, Els 87 2001 Asymptotics for orthogonal polynomials. Zbl 0617.42014 Van Assche, Walter 86 1987 Orthogonal polynomials on several intervals via a polynomial mapping. Zbl 0652.42009 Geronimo, J. S.; Van Assche, Walter 71 1988 Riemann-Hilbert problems for multiple orthogonal polynomials. Zbl 0997.42012 Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J. 68 2001 The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. Zbl 0967.33009 Kuijlaars, A. B. J.; Van Assche, W. 64 1999 Orthogonal polynomials and Painlevé equations. Zbl 1387.33001 Van Assche, Walter 64 2018 Orthogonal matrix polynomials and applications. Zbl 0863.42018 Sinap, Ann; Van Assche, Walter 60 1996 Orthogonal polynomials with asymptotically periodic recurrent coefficients. Zbl 0604.42023 Geronimo, J. S.; Van Assche, Walter 57 1986 Some discrete multiple orthogonal polynomials. Zbl 1021.33006 Arvesú, J.; Coussement, J.; Van Assche, W. 53 2003 Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0840.42017 López, G.; Marcellán, F.; Van Assche, Walter 50 1995 Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016 Van Assche, W.; Yakubovich, S. B. 45 2000 The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. Zbl 1253.33012 Filipuk, Galina; Van Assche, Walter; Zhang, Lun 37 2012 Nearest neighbor recurrence relations for multiple orthogonal polynomials. Zbl 1231.33014 Van Assche, Walter 34 2011 Orthogonal polynomials, associated polynomials and functions of the second kind. Zbl 0744.42012 Van Assche, Walter 33 1991 Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials. Zbl 1128.39013 Van Assche, Walter 32 2007 Relative asymptotics for orthogonal polynomials with a Sobolev inner product. Zbl 0771.42014 Marcellán, Francisco; Van Assche, Walter 30 1993 Polynomial interpolation and Gaussian quadrature for matrix-valued functions. Zbl 0810.41028 Sinap, Ann; Van Assche, Walter 30 1994 Orthogonal polynomials in the complex plane and on the real line. Zbl 0882.42013 Van Assche, Walter 29 1997 Upward extension of the Jacobi matrix for orthogonal polynomials. Zbl 0858.42015 Ronveaux, André; Van Assche, Walter 29 1996 Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials. Zbl 1187.39012 Boelen, Lies; van Assche, Walter 28 2010 Multiple orthogonal polynomials, irrationality and transcendence. Zbl 0952.42014 Van Assche, Walter 27 1999 Quadrature formulas based on rational interpolation. Zbl 0791.65011 Van Assche, Walter; Vanherwegen, Ingrid 27 1993 Asymptotic zero distribution for a class of multiple orthogonal polynomials. Zbl 1165.33007 Coussement, E.; Coussement, J.; van Assche, W. 26 2008 Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. Zbl 1061.30035 Aptekarev, A. I.; Van Assche, W. 25 2004 The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators. Zbl 0731.42021 Máté, Attila; Nevai, Paul; Van Assche, Walter 25 1991 Perturbation of orthogonal polynomials on an arc of the unit circle. Zbl 0842.42013 Golinskij, Leonid; Nevai, Paul; Van Assche, Walter 23 1995 Padé and Hermite-Padé approximation and orthogonality. Zbl 1102.41017 Van Assche, Walter 23 2006 Criterion for the resolvent set of nonsymmetric tridiagonal operators. Zbl 0824.47017 Aptekarev, A. I.; Kaliaguine, V.; Van Assche, Walter 22 1995 Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach. Zbl 1084.41007 Kuijlaars, A. B. J.; Assche, W.; Wielonsky, F. 22 2005 Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). Zbl 1156.41004 Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter 22 2008 Asymptotic properties of orthogonal polynomials from their recurrence formula. I. Zbl 0583.42011 Van Assche, Walter 21 1985 Multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. Zbl 1025.33004 Coussement, Els; Van Assche, Walter 21 2003 Lamé differential equations and electrostatics. Zbl 0952.34023 Dimitrov, Dimitar K.; Van Assche, Walter 19 2000 Entropic integrals of hyperspherical harmonics and spatial entropy of \(D\)-dimensional central potentials. Zbl 0968.81011 Yáñez, R. J.; Van Assche, W.; González-Férez, R.; Dehesa, Jesús S. 18 1999 Asymptotics for orthogonal polynomials and three-term recurrences. Zbl 0697.42023 Van Assche, Walter 18 1990 Approximating the weight function for orthogonal polynomials on several intervals. Zbl 0774.42015 Geronimo, J. S.; Van Assche, Walter 18 1991 Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials. Zbl 0877.33005 Dehesa, Jesús S.; Van Assche, Walter; Yáñez, Rafael 18 1997 The impact of Stieltjes’ work on continued fractions and orthogonal polynomials: Additional material. Zbl 0856.33002 Valent, Galliano; Van Assche, Walter 17 1995 Sieved orthogonal polynomials and discrete measures with jumps dense in an interval. Zbl 0681.42016 Van Assche, Walter; Magnus, Alphonse P. 16 1989 Orthogonal polynomials on a bi-lattice. Zbl 1262.34103 Smet, Christophe; Van Assche, Walter 16 2012 Recurrence coefficients of generalized Meixner polynomials and Painlevé equations. Zbl 1217.34135 Boelen, Lies; Filipuk, Galina; Van Assche, Walter 16 2011 Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential. Zbl 0853.94011 Van Assche, Walter; Yáñez, R. J.; Dehesa, J. S. 16 1995 Interlacing properties of zeros of multiple orthogonal polynomials. Zbl 1235.33007 Haneczok, Maciej; Van Assche, Walter 16 2012 Some properties of multiple orthogonal polynomials associated with Macdonald functions. Zbl 0984.33004 Coussement, Els; Van Assche, Walter 16 2001 Gaussian quadrature for multiple orthogonal polynomials. Zbl 1061.41021 Coussement, Jonathan; Van Assche, Walter 16 2005 Œuvres complètes. Collected papers. Ed. by Gerrit van Dijk. Volumes 1 and 2. Zbl 0779.01010 Stieltjes, Thomas Jan 16 1993 Analysis of non-linear recurrence relations for the recurrence coefficients of generalized Charlier polynomials. Zbl 1362.39018 van Assche, Walter; Foupouagnigni, Mama 16 2003 Extremal polynomials on discrete sets. Zbl 1033.42024 Kuijlaars, A. B. J.; Van Assche, W. 15 1999 Asymptotics for orthogonal polynomials with regularly varying recurrence coefficients. Zbl 0694.41039 Van Assche, Walter; Geronimo, Jeffrey S. 15 1989 Compact perturbations of orthogonal polynomials. Zbl 0723.42009 Nevai, Paul; Van Assche, Walter 15 1992 Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. Zbl 1078.33010 Coussement, Els; Van Assche, Walter 15 2003 Asymptotics for orthogonal polynomials on and off the essential spectrum. Zbl 0663.41029 Van Assche, Walter; Geronimo, Jeffrey S. 14 1988 Probabilistic proofs of asymptotic formulas for some classical polynomials. Zbl 0557.33006 Maejima, Makoto; Van Assche, Walter 14 1985 Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton \(q\)-Bessel function. Zbl 0855.33011 Koelink, H. T.; Van Assche, Walter 14 1995 Little \(q\)-Legendre polynomials and irrationality of certain Lambert series. Zbl 1035.11032 Van Assche, Walter 13 2001 Recurrence coefficients of a new generalization of the Meixner polynomials. Zbl 1250.33015 Filipuk, Galina; Van Assche, Walter 13 2011 Mehler-Heine asymptotics for multiple orthogonal polynomials. Zbl 1355.33014 van Assche, Walter 13 2017 Multiple orthogonal polynomials associated with an exponential cubic weight. Zbl 1309.42037 Van Assche, Walter; Filipuk, Galina; Zhang, Lun 13 2015 Discrete integrable systems generated by Hermite-Padé approximants. Zbl 1341.42043 Aptekarev, Alexander I.; Derevyagin, Maxim; van Assche, Walter 13 2016 Multidimensional Toda lattices: continuous and discrete time. Zbl 1341.42042 Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter 13 2016 Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation. Zbl 1269.34095 Filipuk, Galina; Van Assche, Walter 13 2013 The ratio of q-like orthogonal polynomials. Zbl 0634.33018 Van Assche, Walter 12 1987 A random variable uniformly distributed between two independent random variables. Zbl 0641.60020 Van Assche, Walter 12 1987 On the asymptotic distribution of eigenvalues of banded matrices. Zbl 0646.15004 Geronimo, Jeffrey S.; Harrell, Evans M. II; Van Assche, Walter 12 1988 Information entropy of Gegenbauer polynomials. Zbl 1008.81015 Buyarov, V. S.; López-Artés, P.; Martínez-Finkelshtein, A.; Van Assche, W. 12 2000 Differential equations for multiple orthogonal polynomials with respect to classical weights: raising and lowering operators. Zbl 1097.33004 Coussement, J.; van Assche, W. 12 2006 Multiple Wilson and Jacobi–Piñeiro polynomials. Zbl 1066.33005 Beckermann, B.; Coussement, J.; Van Assche, W. 12 2005 Christoffel functions and Turán determinants on several intervals. Zbl 0790.42013 Van Assche, Walter 12 1993 Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials. Zbl 1342.33024 Neuschel, Thorsten; Van Assche, Walter 12 2016 Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI. Zbl 1400.33016 Filipuk, Galina; Van Assche, Walter 12 2018 Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice. Zbl 1018.37042 Aptekarev, A. I.; Van Assche, W. 11 2001 Multiple little \(q\)-Jacobi polynomials. Zbl 1068.33031 Postelmans, Kelly; Van Assche, Walter 11 2005 Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients. Zbl 0705.42018 Geronimo, Jeffrey S.; Van Assche, Walter 11 1990 Compact Jacobi matrices: From Stieltjes to Krein and \(M(a,b)\). Zbl 0879.42013 Van Assche, Walter 11 1996 What is \(\ldots\) a multiple orthogonal polynomial? Zbl 1352.33002 Martínez-Finkelshtein, Andrei; Van Assche, Walter 11 2016 Blumenthal’s theorem for Laurent orthogonal polynomials. Zbl 1022.42014 Sri Ranga, A.; Van Assche, Walter 11 2002 Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports. Zbl 1362.41001 Aptekarev, Alexander I.; van Assche, Walter; Yattselev, Maxim L. 11 2017 Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials. Zbl 1001.35116 Coussement, J.; Kuijlaars, A. B. J.; Van Assche, W. 11 2002 Irrationality of \(\zeta _{q}(1)\) and \(\zeta _{q}(2)\). Zbl 1138.11027 Postelmans, Kelly; Van Assche, Walter 10 2007 Functionals of Gegenbauer polynomials and \(D\)-dimensional hydrogenic momentum expectation values. Zbl 0977.33006 Van Assche, W.; Yáñez, R. J.; González-Férez, R.; Dehesa, Jesús S. 10 2000 Perturbation of orthogonal polynomials on an arc of the unit circle. II. Zbl 0958.42016 Golinskii, Leonid; Nevai, Paul; Pintér, Ferenc; van Assche, Walter 10 1999 Para-orthogonal polynomials in frequency analysis. Zbl 1042.94001 Daruis, Leyla; Njåstad, Olav; Van Assche, Walter 10 2003 Computing recurrence coefficients of multiple orthogonal polynomials. Zbl 1328.65265 Filipuk, Galina; Haneczok, Maciej; Van Assche, Walter 10 2015 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 1056.30038 Kuijlaars, Arno; Stahl, Herbert; Van Assche, Walter; Wielonsky, Franck 10 2003 Riemann-Hilbert analysis for a Nikishin system. Zbl 1398.30024 López Lagomasino, G.; Van Assche, W. 10 2018 Encyclopedia of special functions: the Askey-Bateman project. Volume 1. Univariate orthogonal polynomials. With the assistance by Walter van Assche. Zbl 1466.33001 10 2020 Asymptotic properties of orthogonal polynomials from their recurrence formula. II. Zbl 0643.42019 Van Assche, Walter 9 1988 Type II Hermite-Padé approximation to the exponential function. Zbl 1119.41010 Kuijlaars, A. B. J.; Stahl, H.; Van Assche, W.; Wielonsky, F. 9 2007 Asymptotics of entropy integrals for orthogonal polynomials. Zbl 0892.33005 Aptekarev, A. I.; Buyarov, V. S.; Van Assche, W.; Dehesa, J. S. 9 1996 A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions. Zbl 1314.39017 Alsulami, Saud M.; Nevai, Paul; Szabados, József; Van Assche, Walter 9 2015 Orthogonal and multiple orthogonal polynomials, random matrices, and Painlevé equations. Zbl 1443.33028 van Assche, Walter 9 2020 Three-fold symmetric Hahn-classical multiple orthogonal polynomials. Zbl 1435.33011 Loureiro, Ana F.; Van Assche, Walter 9 2020 Weak convergence of orthogonal polynomials. Zbl 0834.42013 Van Assche, Walter 8 1995 Products of 2\(\times 2\) stochastic matrices with random entries. Zbl 0606.60012 Van Assche, Walter 8 1986 Unique positive solution for an alternative discrete Painlevé I equation. Zbl 1355.39005 Clarkson, Peter A.; Loureiro, Ana F.; van Assche, Walter 8 2016 Orthogonal polynomials, Toda lattices and Painlevé equations. Zbl 1498.33016 Van Assche, Walter 4 2022 Zero distribution of orthogonal polynomials on a \(q\)-lattice. Zbl 1477.31008 Van Assche, Walter; Van Baelen, Quinten 2 2021 Encyclopedia of special functions: the Askey-Bateman project. Volume 1. Univariate orthogonal polynomials. With the assistance by Walter van Assche. Zbl 1466.33001 10 2020 Orthogonal and multiple orthogonal polynomials, random matrices, and Painlevé equations. Zbl 1443.33028 van Assche, Walter 9 2020 Three-fold symmetric Hahn-classical multiple orthogonal polynomials. Zbl 1435.33011 Loureiro, Ana F.; Van Assche, Walter 9 2020 Laguerre-Angelesco multiple orthogonal polynomials on an \(r\)-star. Zbl 1437.33008 Leurs, Marjolein; Van Assche, Walter 5 2020 Jacobi-Angelesco multiple orthogonal polynomials on an \(r\)-star. Zbl 1436.33008 Leurs, Marjolein; Van Assche, Walter 5 2020 Solution of an open problem about two families of orthogonal polynomials. Zbl 1412.42068 Van Assche, Walter 6 2019 Orthogonal polynomials and Painlevé equations. Zbl 1387.33001 Van Assche, Walter 64 2018 Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI. Zbl 1400.33016 Filipuk, Galina; Van Assche, Walter 12 2018 Riemann-Hilbert analysis for a Nikishin system. Zbl 1398.30024 López Lagomasino, G.; Van Assche, W. 10 2018 Multiple Hermite polynomials and simultaneous Gaussian quadrature. Zbl 1406.33009 van Assche, Walter; Vuerinckx, Anton 2 2018 Mehler-Heine asymptotics for multiple orthogonal polynomials. Zbl 1355.33014 van Assche, Walter 13 2017 Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports. Zbl 1362.41001 Aptekarev, Alexander I.; van Assche, Walter; Yattselev, Maxim L. 11 2017 Alpert multiwavelets and Legendre-Angelesco multiple orthogonal polynomials. Zbl 1359.42016 Geronimo, Jeffrey S.; Iliev, Plamen; van Assche, Walter 4 2017 Discrete integrable systems generated by Hermite-Padé approximants. Zbl 1341.42043 Aptekarev, Alexander I.; Derevyagin, Maxim; van Assche, Walter 13 2016 Multidimensional Toda lattices: continuous and discrete time. Zbl 1341.42042 Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter 13 2016 Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials. Zbl 1342.33024 Neuschel, Thorsten; Van Assche, Walter 12 2016 What is \(\ldots\) a multiple orthogonal polynomial? Zbl 1352.33002 Martínez-Finkelshtein, Andrei; Van Assche, Walter 11 2016 Unique positive solution for an alternative discrete Painlevé I equation. Zbl 1355.39005 Clarkson, Peter A.; Loureiro, Ana F.; van Assche, Walter 8 2016 Ratio asymptotics for multiple orthogonal polynomials. Zbl 1355.42029 Van Assche, Walter 4 2016 Simultaneous Gaussian quadrature for Angelesco systems. Zbl 1377.41017 Lubinsky, Doron S.; Assche, Walter Van 4 2016 Multiple orthogonal polynomials associated with an exponential cubic weight. Zbl 1309.42037 Van Assche, Walter; Filipuk, Galina; Zhang, Lun 13 2015 Computing recurrence coefficients of multiple orthogonal polynomials. Zbl 1328.65265 Filipuk, Galina; Haneczok, Maciej; Van Assche, Walter 10 2015 A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions. Zbl 1314.39017 Alsulami, Saud M.; Nevai, Paul; Szabados, József; Van Assche, Walter 9 2015 On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials. Zbl 1393.39012 Aptekarev, A. I.; Derevyagin, M.; van Assche, W. 7 2015 Hyperelliptic uniformization of algebraic curves of the third order. Zbl 1312.33022 Aptekarev, A. I.; Toulyakov, D. N.; Van Assche, W. 7 2015 Orthogonal polynomials for Minkowski’s question mark function. Zbl 1312.42031 Dresse, Zoé; Van Assche, Walter 4 2015 Variations of Stieltjes-Wigert and \(q\)-Laguerre polynomials and their recurrence coefficients. Zbl 1312.33059 Boelen, Lies; Van Assche, Walter 2 2015 A tribute to Dick Askey. Zbl 1315.01039 1 2015 Zero distribution of polynomials satisfying a differential-difference equation. Zbl 1303.33021 Dominici, Diego; van Assche, Walter 5 2014 Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation. Zbl 1269.34095 Filipuk, Galina; Van Assche, Walter 13 2013 Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians. Zbl 1283.33010 Ndayiragije, F.; Van Assche, W. 7 2013 Ladder operators and differential equations for multiple orthogonal polynomials. Zbl 1271.33004 Filipuk, Galina; Van Assche, Walter; Zhang, Lun 6 2013 The generalized Krawtchouk polynomials and the fifth Painlevé equation. Zbl 1279.33013 Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun 4 2013 The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. Zbl 1253.33012 Filipuk, Galina; Van Assche, Walter; Zhang, Lun 37 2012 Orthogonal polynomials on a bi-lattice. Zbl 1262.34103 Smet, Christophe; Van Assche, Walter 16 2012 Interlacing properties of zeros of multiple orthogonal polynomials. Zbl 1235.33007 Haneczok, Maciej; Van Assche, Walter 16 2012 Asymptotics for the ratio and the zeros of multiple Charlier polynomials. Zbl 1246.42022 Ndayiragije, François; Van Assche, Walter 2 2012 Nearest neighbor recurrence relations for multiple orthogonal polynomials. Zbl 1231.33014 Van Assche, Walter 34 2011 Recurrence coefficients of generalized Meixner polynomials and Painlevé equations. Zbl 1217.34135 Boelen, Lies; Filipuk, Galina; Van Assche, Walter 16 2011 Recurrence coefficients of a new generalization of the Meixner polynomials. Zbl 1250.33015 Filipuk, Galina; Van Assche, Walter 13 2011 Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials. Zbl 1187.39012 Boelen, Lies; van Assche, Walter 28 2010 \(q\)-discrete Painlevé equations for recurrence coefficients of modified \(q\)-Freud orthogonal polynomials. Zbl 1189.39009 Boelen, Lies; Smet, Christophe; van Assche, Walter 7 2010 Mellin transforms for multiple Jacobi-Piñeiro polynomials and a \(q\)-analogue. Zbl 1202.33007 Smet, Christophe; van Assche, Walter 6 2010 Hermite-Padé rational approximation to irrational numbers. Zbl 1239.11078 Van Assche, Walter 1 2010 Orthogonal polynomials and approximation theory: some open problems. Zbl 1200.41014 Van 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 1172.42008 Ismail, Mourad E. H. 115 2009 Leonhard Euler and a \(q\)-analogue of the logarithm. Zbl 1188.33006 Koelink, Erik; van Assche, Walter 7 2009 Irrationality proof of a \(q\)-extension of \(\zeta (2)\) using little \(q\)-Jacobi polynomials. Zbl 1226.11074 Smet, Christophe; Van Assche, Walter 5 2009 Asymptotic zero distribution for a class of multiple orthogonal polynomials. Zbl 1165.33007 Coussement, E.; Coussement, J.; van Assche, W. 26 2008 Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). Zbl 1156.41004 Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter 22 2008 Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Zbl 1143.42027 Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W. 5 2008 Multiple orthogonal polynomials on the unit circle. Zbl 1172.41004 Ceniceros, Judit Minguez; Van Assche, Walter 2 2008 Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials. Zbl 1128.39013 Van Assche, Walter 32 2007 Irrationality of \(\zeta _{q}(1)\) and \(\zeta _{q}(2)\). Zbl 1138.11027 Postelmans, Kelly; Van Assche, Walter 10 2007 Type II Hermite-Padé approximation to the exponential function. Zbl 1119.41010 Kuijlaars, A. B. J.; Stahl, H.; Van Assche, W.; Wielonsky, F. 9 2007 Rakhmanov’s theorem for orthogonal matrix polynomials on the unit circle. Zbl 1136.33005 Van 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 2 2007 Padé and Hermite-Padé approximation and orthogonality. Zbl 1102.41017 Van Assche, Walter 23 2006 Differential equations for multiple orthogonal polynomials with respect to classical weights: raising and lowering operators. Zbl 1097.33004 Coussement, J.; van Assche, W. 12 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 6 2006 Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Zbl 1082.42016 Ismail, Mourad E. H. 482 2005 Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach. Zbl 1084.41007 Kuijlaars, A. B. J.; Assche, W.; Wielonsky, F. 22 2005 Gaussian quadrature for multiple orthogonal polynomials. Zbl 1061.41021 Coussement, Jonathan; Van Assche, Walter 16 2005 Multiple Wilson and Jacobi–Piñeiro polynomials. Zbl 1066.33005 Beckermann, B.; Coussement, J.; Van Assche, W. 12 2005 Multiple little \(q\)-Jacobi polynomials. Zbl 1068.33031 Postelmans, Kelly; Van Assche, Walter 11 2005 A continuum limit of the relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients. Zbl 1092.37049 Coussement, J.; van Assche, W. 7 2005 Szegő quadrature and frequency analysis. Zbl 1122.41017 Daruis, Leyla; Njåstad, Olav; Van Assche, Walter 4 2005 Generalizations of orthogonal polynomials. Zbl 1068.42021 Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B. 3 2005 The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. Zbl 1082.42017 Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M. 136 2004 Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. Zbl 1061.30035 Aptekarev, A. I.; Van Assche, W. 25 2004 WKB and turning point theory for second-order difference equations. Zbl 1064.39018 Geronimo, Jeffrey S.; Bruno, Oscar; van Assche, Walter 7 2004 Difference equations for multiple Charlier and Meixner polynomials. Zbl 1068.33017 Van Assche, Walter 6 2004 An extension of the Toda lattice: a direct and inverse spectral transform connected with orthogonal rational functions. Zbl 1045.37041 Coussement, J.; Van Assche, W. 4 2004 Multiple orthogonal polynomials for classical weights. Zbl 1033.33002 Aptekarev, A. I.; Branquinho, A.; Van Assche, W. 90 2003 Some discrete multiple orthogonal polynomials. Zbl 1021.33006 Arvesú, J.; Coussement, J.; Van Assche, W. 53 2003 Multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. Zbl 1025.33004 Coussement, Els; Van Assche, Walter 21 2003 Analysis of non-linear recurrence relations for the recurrence coefficients of generalized Charlier polynomials. Zbl 1362.39018 van Assche, Walter; Foupouagnigni, Mama 16 2003 Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. Zbl 1078.33010 Coussement, Els; Van Assche, Walter 15 2003 Para-orthogonal polynomials in frequency analysis. Zbl 1042.94001 Daruis, Leyla; Njåstad, Olav; Van Assche, Walter 10 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 1056.30038 Kuijlaars, Arno; Stahl, Herbert; Van Assche, Walter; Wielonsky, Franck 10 2003 Strong asymptotics for relativistic Hermite polynomials. Zbl 1035.33005 Gawronski, Wolfgang; Van Assche, Walter 4 2003 Orthogonal polynomials and special functions. Notes for the lectures of the summer school, Leuven, Belgium, August 12–16, 2002. Zbl 1015.00020 2 2003 Blumenthal’s theorem for Laurent orthogonal polynomials. Zbl 1022.42014 Sri Ranga, A.; Van Assche, Walter 11 2002 Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials. Zbl 1001.35116 Coussement, J.; Kuijlaars, A. B. J.; Van Assche, W. 11 2002 Some classical multiple orthogonal polynomials. Zbl 0969.33005 Van Assche, Walter; Coussement, Els 87 2001 Riemann-Hilbert problems for multiple orthogonal polynomials. Zbl 0997.42012 Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J. 68 2001 Some properties of multiple orthogonal polynomials associated with Macdonald functions. Zbl 0984.33004 Coussement, Els; Van Assche, Walter 16 2001 Little \(q\)-Legendre polynomials and irrationality of certain Lambert series. Zbl 1035.11032 Van Assche, Walter 13 2001 Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice. Zbl 1018.37042 Aptekarev, A. I.; Van Assche, W. 11 2001 Ted Chihara and his work on orthogonal polynomials. Zbl 0999.01023 Askey, R.; Ismail, M. E. H.; Van Assche, W. 3 2001 Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016 Van Assche, W.; Yakubovich, S. B. 45 2000 Lamé differential equations and electrostatics. Zbl 0952.34023 Dimitrov, Dimitar K.; Van Assche, Walter 19 2000 Information entropy of Gegenbauer polynomials. Zbl 1008.81015 Buyarov, V. S.; López-Artés, P.; Martínez-Finkelshtein, A.; Van Assche, W. 12 2000 Functionals of Gegenbauer polynomials and \(D\)-dimensional hydrogenic momentum expectation values. Zbl 0977.33006 Van Assche, W.; Yáñez, R. J.; González-Férez, R.; Dehesa, Jesús S. 10 2000 Nonsymmetric linear difference equations for multiple orthogonal polynomials. Zbl 0962.42016 Van Assche, Walter 3 2000 The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. Zbl 0967.33009 Kuijlaars, A. B. J.; Van Assche, W. 64 1999 Multiple orthogonal polynomials, irrationality and transcendence. Zbl 0952.42014 Van Assche, Walter 27 1999 ...and 61 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,132 Authors 88 Van Assche, Walter 67 Marcellán Español, Francisco 47 Kuijlaars, Arno B. J. 40 Aptekarev, Alexander Ivanovich 38 Martínez-Finkelshtein, Andrei 31 Dehesa, Jesús S. 29 Chen, Yang 28 Sri Ranga, Alagacone 23 Branquinho, Amílcar José Pinto Lopes 20 Filipuk, Galina V. 19 Durán, Antonio José 19 López Lagomasino, Guillermo Tomás 18 Foulquié Moreno, Ana Pilar 18 Moreno-Balcázar, Juan José 16 Dette, Holger 16 Peherstorfer, Franz 15 Ismail, Mourad El-Houssieny 15 Xu, Shuaixia 15 Yattselev, Maxim L. 15 Zhang, Lun 14 Bracciali, Cleonice Fátima 14 Bultheel, Adhemar François 14 Dominici, Diego Ernesto 14 Mañas, Manuel 14 Zhao, Yuqiu 13 González-Vera, Pablo 13 Tulyakov, Dmitrii N. 13 Yáñez, Rafael J. 12 Garza, Luis E. 12 Geronimo, Jeffrey S. 12 Totik, Vilmos 11 Deaño, Alfredo 11 Pijeira-Cabrera, Héctor 11 Suetin, Sergeĭ Pavlovich 10 Charlier, Christophe 10 Derevyagin, Maxim S. 10 Koelink, Erik 10 Lubinsky, Doron S. 10 Njåstad, Olav 10 Osilenker, Boris P. 10 Petronilho, José C. 10 Starovoĭtov, Aleksandr Pavlovich 10 Wong, Roderick Sue-Chuen 10 Yakubovich, Semyon B. 9 Álvarez-Nodarse, Renato 9 Castillo, Kenier 9 Clarkson, Peter A. 9 Delvaux, Steven 9 García-Ardila, Juan Carlos 9 Golinskii, Leonid Borisovich 9 Lysov, Vladimir G. 9 Nevai, Paul G. 9 Shapiro, Boris Zalmanovich 9 Štampach, František 9 Zhu, Mengkun 8 Dai, Dan 8 Grünbaum, Francisco Alberto 8 Huertas Cejudo, Edmundo José 8 Krasovsky, Igor V. 8 Magnus, Alphonse Ph. 8 Maroni, Pascal 8 Moral, Leandro 8 Orive Rodríguez, Ramón Angel 8 Rakhmanov, Evgenij Andreevich 8 Román, Pablo Manuel 8 Ronveaux, André 8 Simon, Barry 8 Świderski, Grzegorz 8 Wielonsky, Franck 8 Zhedanov, Alexei S. 7 Alpan, Gökalp 7 Beckermann, Bernhard 7 Ben Cheikh, Youssèf 7 Bleher, Pavel M. 7 Cantero, María José 7 Claeys, Tom 7 Duits, Maurice 7 Foupouagnigni, Mama 7 Fuentes, Edinson 7 Gautschi, Walter 7 Griffin, James C. 7 Lamiri, Imed 7 Loureiro, Ana Filipa 7 Pérez, Teresa E. 7 Piñar, Miguel A. 7 Rezola, María Luisa 7 Saff, Edward Barry 7 Smet, Christophe 7 Velázquez, Luis 6 Alfaro García, Manuel 6 Alhaidari, Abdulaziz D. 6 Barrios Rolanía, D. 6 Bourget, Alain 6 Deift, Percy A. 6 Jordaan, Kerstin 6 Joshi, Nalini 6 Milovanović, Gradimir V. 6 Neuschel, Thorsten 6 Parthasarathy, Panamalai Ramarao 6 Rebocho, M. N. ...and 1,032 more Authors all top 5 Cited in 235 Serials 185 Journal of Approximation Theory 148 Journal of Computational and Applied Mathematics 57 Journal of Mathematical Analysis and Applications 44 Constructive Approximation 38 Linear Algebra and its Applications 37 Proceedings of the American Mathematical Society 37 Integral Transforms and Special Functions 36 Journal of Mathematical Physics 32 Communications in Mathematical Physics 27 Journal of Difference Equations and Applications 24 Random Matrices: Theory and Applications 22 Advances in Mathematics 22 Applied Mathematics and Computation 22 Numerical Algorithms 19 Mathematical Notes 19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 18 Mathematics of Computation 18 Journal of Physics A: Mathematical and Theoretical 16 Transactions of the American Mathematical Society 16 Proceedings of the Steklov Institute of Mathematics 15 Journal d’Analyse Mathématique 14 Rocky Mountain Journal of Mathematics 14 Applied Numerical Mathematics 13 Studies in Applied Mathematics 11 Journal of Functional Analysis 11 Analysis and Applications (Singapore) 10 Statistics & Probability Letters 10 Applied Mathematics Letters 10 The Ramanujan Journal 9 Numerische Mathematik 9 Indagationes Mathematicae. New Series 9 Computational Methods and Function Theory 9 Mediterranean Journal of Mathematics 8 Analysis and Mathematical Physics 7 Computers & Mathematics with Applications 7 Communications on Pure and Applied Mathematics 7 Letters in Mathematical Physics 7 Advances in Applied Mathematics 7 Physica D 7 Russian Journal of Mathematical Physics 7 Sbornik: Mathematics 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Journal of Statistical Physics 6 Nonlinearity 6 Theoretical and Mathematical Physics 6 Acta Applicandae Mathematicae 6 Complex Analysis and Operator Theory 6 Bulletin of Mathematical Sciences 5 Mathematical Methods in the Applied Sciences 5 Russian Mathematical Surveys 5 Duke Mathematical Journal 5 Transactions of the Moscow Mathematical Society 5 Russian Mathematics 5 Foundations of Computational Mathematics 4 Nuclear Physics. 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Serie A: Matemáticas. RACSAM 3 Afrika Matematika 3 Problemy Fiziki, Matematiki i Tekhniki 2 Advances in Applied Probability 2 International Journal of Theoretical Physics 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 Functional Analysis and its Applications 2 Integral Equations and Operator Theory ...and 135 more Serials all top 5 Cited in 53 Fields 739 Special functions (33-XX) 600 Harmonic analysis on Euclidean spaces (42-XX) 246 Approximations and expansions (41-XX) 219 Functions of a complex variable (30-XX) 181 Linear and multilinear algebra; matrix theory (15-XX) 159 Probability theory and stochastic processes (60-XX) 141 Ordinary differential equations (34-XX) 132 Numerical analysis (65-XX) 124 Operator theory (47-XX) 102 Difference and functional equations (39-XX) 72 Dynamical systems and ergodic theory (37-XX) 70 Quantum theory (81-XX) 57 Number theory (11-XX) 53 Partial differential equations (35-XX) 51 Statistical mechanics, structure of matter (82-XX) 41 Statistics (62-XX) 40 Real functions (26-XX) 39 Potential theory (31-XX) 39 Information and communication theory, circuits (94-XX) 37 Integral transforms, operational calculus (44-XX) 30 Combinatorics (05-XX) 21 Sequences, series, summability (40-XX) 21 Functional analysis (46-XX) 11 Computer science (68-XX) 9 History and biography (01-XX) 9 Integral equations (45-XX) 8 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) 5 Operations research, mathematical programming (90-XX) 4 Geometry (51-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-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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