Van Assche, Walter; Wolfs, Thomas Multiple orthogonal polynomials associated with the exponential integral. (English) Zbl 07771109 Stud. Appl. Math. 151, No. 2, 411-449 (2023). Reviewer: Thomas Ernst (Uppsala) MSC: 33C47 33C45 33C05 33C20 33C80 42C05 44A20 15B52 60B20 PDFBibTeX XMLCite \textit{W. Van Assche} and \textit{T. Wolfs}, Stud. Appl. Math. 151, No. 2, 411--449 (2023; Zbl 07771109) Full Text: DOI arXiv
Van Assche, Walter A Golub-Welsch version for simultaneous Gaussian quadrature. arXiv:2309.11864 Preprint, arXiv:2309.11864 [math.NA] (2023). MSC: 41A55 65D32 15A18 33C45 41A21 42C05 BibTeX Cite \textit{W. Van Assche}, ``A Golub-Welsch version for simultaneous Gaussian quadrature'', Preprint, arXiv:2309.11864 [math.NA] (2023) Full Text: DOI arXiv OA License
Van Assche, Walter Unique special solution for discrete Painlevé II. arXiv:2308.07011 Preprint, arXiv:2308.07011 [math.CA] (2023). MSC: 33E17 39A13 42C05 BibTeX Cite \textit{W. Van Assche}, ``Unique special solution for discrete Painlev\'e II'', Preprint, arXiv:2308.07011 [math.CA] (2023) Full Text: DOI arXiv OA License
Świderski, Grzegorz; Van Assche, Walter Christoffel functions for multiple orthogonal polynomials. (English) Zbl 1521.33006 J. Approx. Theory 283, Article ID 105820, 22 p. (2022). MSC: 33C45 41A28 42C05 PDFBibTeX XMLCite \textit{G. Świderski} and \textit{W. Van Assche}, J. Approx. Theory 283, Article ID 105820, 22 p. (2022; Zbl 1521.33006) Full Text: DOI arXiv
Van Assche, Walter Orthogonal polynomials, Toda lattices and Painlevé equations. (English) Zbl 1498.33016 Physica D 434, Article ID 133214, 9 p. (2022). Reviewer: Christoph Koutschan (Linz) MSC: 33D45 PDFBibTeX XMLCite \textit{W. Van Assche}, Physica D 434, Article ID 133214, 9 p. (2022; Zbl 1498.33016) Full Text: DOI arXiv
Van Assche, Walter Chebyshev polynomials in the 16th century. (English) Zbl 1505.33007 J. Approx. Theory 279, Article ID 105767, 15 p. (2022). MSC: 33C45 01A40 01A45 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 279, Article ID 105767, 15 p. (2022; Zbl 1505.33007) Full Text: DOI arXiv
Van Assche, Walter; Van Baelen, Quinten Zero distribution of orthogonal polynomials on a \(q\)-lattice. (English) Zbl 1477.31008 Constr. Approx. 54, No. 1, 117-144 (2021). MSC: 31A15 33D52 42C05 PDFBibTeX XMLCite \textit{W. Van Assche} and \textit{Q. Van Baelen}, Constr. Approx. 54, No. 1, 117--144 (2021; Zbl 1477.31008) Full Text: DOI arXiv
Nuwacu, Jean Paul; van Assche, Walter Multiple Askey-Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials. (English) Zbl 1456.33014 Trans. Am. Math. Soc. 373, No. 12, 8289-8312 (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33D45 42C05 PDFBibTeX XMLCite \textit{J. P. Nuwacu} and \textit{W. van Assche}, Trans. Am. Math. Soc. 373, No. 12, 8289--8312 (2020; Zbl 1456.33014) Full Text: DOI arXiv
van Assche, Walter Orthogonal and multiple orthogonal polynomials, random matrices, and Painlevé equations. (English) Zbl 1443.33028 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 629-683 (2020). MSC: 33C45 33E17 34M55 60B20 PDFBibTeX XMLCite \textit{W. van Assche}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 629--683 (2020; Zbl 1443.33028) Full Text: DOI arXiv
Leurs, Marjolein; Van Assche, Walter Jacobi-Angelesco multiple orthogonal polynomials on an \(r\)-star. (English) Zbl 1436.33008 Constr. Approx. 51, No. 2, 353-381 (2020). Reviewer: Pierluigi Vellucci (Roma) MSC: 33C45 PDFBibTeX XMLCite \textit{M. Leurs} and \textit{W. Van Assche}, Constr. Approx. 51, No. 2, 353--381 (2020; Zbl 1436.33008) Full Text: DOI arXiv
Loureiro, Ana F.; Van Assche, Walter Three-fold symmetric Hahn-classical multiple orthogonal polynomials. (English) Zbl 1435.33011 Anal. Appl., Singap. 18, No. 2, 271-332 (2020). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. F. Loureiro} and \textit{W. Van Assche}, Anal. Appl., Singap. 18, No. 2, 271--332 (2020; Zbl 1435.33011) Full Text: DOI arXiv
Leurs, Marjolein; Van Assche, Walter Laguerre-Angelesco multiple orthogonal polynomials on an \(r\)-star. (English) Zbl 1437.33008 J. Approx. Theory 250, Article ID 105324, 30 p. (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C45 42C05 41A28 PDFBibTeX XMLCite \textit{M. Leurs} and \textit{W. Van Assche}, J. Approx. Theory 250, Article ID 105324, 30 p. (2020; Zbl 1437.33008) Full Text: DOI arXiv
Van Assche, Walter Solution of an open problem about two families of orthogonal polynomials. (English) Zbl 1412.42068 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 005, 6 p. (2019). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{W. Van Assche}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 005, 6 p. (2019; Zbl 1412.42068) Full Text: DOI arXiv
van Assche, Walter; Vuerinckx, Anton Multiple Hermite polynomials and simultaneous Gaussian quadrature. (English) Zbl 1406.33009 ETNA, Electron. Trans. Numer. Anal. 50, 182-198 (2018). MSC: 33C45 41A55 42C05 65D32 PDFBibTeX XMLCite \textit{W. van Assche} and \textit{A. Vuerinckx}, ETNA, Electron. Trans. Numer. Anal. 50, 182--198 (2018; Zbl 1406.33009) Full Text: DOI arXiv Link
Filipuk, Galina; Van Assche, Walter Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI. (English) Zbl 1400.33016 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 088, 19 p. (2018). MSC: 33C45 33E17 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{W. Van Assche}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 088, 19 p. (2018; Zbl 1400.33016) Full Text: DOI arXiv
López Lagomasino, G.; Van Assche, W. Riemann-Hilbert analysis for a Nikishin system. (English. Russian original) Zbl 1398.30024 Sb. Math. 209, No. 7, 1019-1050 (2018); translation from Mat. Sb. 209, No. 7, xx (2018). MSC: 30E10 30E25 41A21 42C05 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{W. Van Assche}, Sb. Math. 209, No. 7, 1019--1050 (2018; Zbl 1398.30024); translation from Mat. Sb. 209, No. 7, xx (2018) Full Text: DOI arXiv MNR
Van Assche, Walter Orthogonal polynomials and Painlevé equations. (English) Zbl 1387.33001 Australian Mathematical Society Lecture Series 27. Cambridge: Cambridge University Press (ISBN 978-1-108-44194-0/pbk; 978-1-108-64486-0/ebook). xii, 179 p. (2018). Reviewer: Francisco Marcellán (Leganes) MSC: 33-01 33C45 33C47 33E17 PDFBibTeX XMLCite \textit{W. Van Assche}, Orthogonal polynomials and Painlevé equations. Cambridge: Cambridge University Press (2018; Zbl 1387.33001) Full Text: DOI Link
van Assche, Walter Majorization results for zeros of orthogonal polynomials. (English) Zbl 1370.33013 Proc. Am. Math. Soc. 145, No. 9, 3849-3863 (2017). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 33C45 42C05 26C10 30C15 15B51 PDFBibTeX XMLCite \textit{W. van Assche}, Proc. Am. Math. Soc. 145, No. 9, 3849--3863 (2017; Zbl 1370.33013) Full Text: DOI arXiv
Geronimo, Jeffrey S.; Iliev, Plamen; van Assche, Walter Alpert multiwavelets and Legendre-Angelesco multiple orthogonal polynomials. (English) Zbl 1359.42016 SIAM J. Math. Anal. 49, No. 1, 626-645 (2017). MSC: 42C40 65T60 33C20 33C45 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., SIAM J. Math. Anal. 49, No. 1, 626--645 (2017; Zbl 1359.42016) Full Text: DOI arXiv
van Assche, Walter Mehler-Heine asymptotics for multiple orthogonal polynomials. (English) Zbl 1355.33014 Proc. Am. Math. Soc. 145, No. 1, 303-314 (2017). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{W. van Assche}, Proc. Am. Math. Soc. 145, No. 1, 303--314 (2017; Zbl 1355.33014) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Van Assche, Walter What is \(\ldots\) a multiple orthogonal polynomial? (English) Zbl 1352.33002 Notices Am. Math. Soc. 63, No. 9, 1029-1031 (2016). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{W. Van Assche}, Notices Am. Math. Soc. 63, No. 9, 1029--1031 (2016; Zbl 1352.33002) Full Text: DOI arXiv
Van Assche, Walter Ratio asymptotics for multiple orthogonal polynomials. (English) Zbl 1355.42029 Hardin, Douglas P. (ed.) et al., Modern trends in constructive function theory. Constructive functions 2014 conference in honor of Ed Saff’s 70th birthday, Vanderbilt University, Nashville, TN, USA, May 26–30, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2534-0/pbk; 978-1-4704-2934-8/ebook). Contemporary Mathematics 661, 73-85 (2016). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, Contemp. Math. 661, 73--85 (2016; Zbl 1355.42029) Full Text: DOI arXiv Link
Clarkson, Peter A.; Loureiro, Ana F.; van Assche, Walter Unique positive solution for an alternative discrete Painlevé I equation. (English) Zbl 1355.39005 J. Difference Equ. Appl. 22, No. 5, 656-675 (2016). Reviewer: Ti-Jun Xiao (Fudan) MSC: 39A12 34M55 39A22 PDFBibTeX XMLCite \textit{P. A. Clarkson} et al., J. Difference Equ. Appl. 22, No. 5, 656--675 (2016; Zbl 1355.39005) Full Text: DOI arXiv Link
Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter Multidimensional Toda lattices: continuous and discrete time. (English) Zbl 1341.42042 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 054, 30 p. (2016). Reviewer: Ma Wen-Xiu (Tampa) MSC: 42C05 37K10 39A14 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 054, 30 p. (2016; Zbl 1341.42042) Full Text: DOI arXiv
Aptekarev, Alexander I.; Derevyagin, Maxim; van Assche, Walter Discrete integrable systems generated by Hermite-Padé approximants. (English) Zbl 1341.42043 Nonlinearity 29, No. 5, 1487-1506 (2016). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 37K10 37K60 39A12 65Q10 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Nonlinearity 29, No. 5, 1487--1506 (2016; Zbl 1341.42043) Full Text: DOI arXiv
Neuschel, Thorsten; Van Assche, Walter Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials. (English) Zbl 1342.33024 J. Approx. Theory 205, 114-132 (2016). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 42C05 26C10 60G99 PDFBibTeX XMLCite \textit{T. Neuschel} and \textit{W. Van Assche}, J. Approx. Theory 205, 114--132 (2016; Zbl 1342.33024) Full Text: DOI arXiv
Filipuk, Galina; Haneczok, Maciej; Van Assche, Walter Computing recurrence coefficients of multiple orthogonal polynomials. (English) Zbl 1328.65265 Numer. Algorithms 70, No. 3, 519-543 (2015). Reviewer: Manfred Tasche (Rostock) MSC: 65Q30 42C05 65D20 33F05 PDFBibTeX XMLCite \textit{G. Filipuk} et al., Numer. Algorithms 70, No. 3, 519--543 (2015; Zbl 1328.65265) Full Text: DOI arXiv Link
Dresse, Zoé; Van Assche, Walter Orthogonal polynomials for Minkowski’s question mark function. (English) Zbl 1312.42031 J. Comput. Appl. Math. 284, 171-183 (2015). Reviewer: Christoph Aistleitner (Kobe) MSC: 42C05 11B57 65Q30 PDFBibTeX XMLCite \textit{Z. Dresse} and \textit{W. Van Assche}, J. Comput. Appl. Math. 284, 171--183 (2015; Zbl 1312.42031) Full Text: DOI arXiv
Aptekarev, A. I.; Toulyakov, D. N.; Van Assche, W. Hyperelliptic uniformization of algebraic curves of the third order. (English) Zbl 1312.33022 J. Comput. Appl. Math. 284, 38-49 (2015). MSC: 33C45 41A21 42C05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Comput. Appl. Math. 284, 38--49 (2015; Zbl 1312.33022) Full Text: DOI arXiv
Aptekarev, A. I.; Derevyagin, M.; van Assche, W. On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials. (English) Zbl 1393.39012 J. Phys. A, Math. Theor. 48, No. 6, Article ID 065201, 16 p. (2015). MSC: 39A70 33C50 47F05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Phys. A, Math. Theor. 48, No. 6, Article ID 065201, 16 p. (2015; Zbl 1393.39012) Full Text: DOI arXiv Link
Van Assche, Walter; Filipuk, Galina; Zhang, Lun Multiple orthogonal polynomials associated with an exponential cubic weight. (English) Zbl 1309.42037 J. Approx. Theory 190, 1-25 (2015). Reviewer: Pablo Sánchez-Moreno (Granada) MSC: 42C05 PDFBibTeX XMLCite \textit{W. Van Assche} et al., J. Approx. Theory 190, 1--25 (2015; Zbl 1309.42037) Full Text: DOI arXiv
Dominici, Diego; van Assche, Walter Zero distribution of polynomials satisfying a differential-difference equation. (English) Zbl 1303.33021 Anal. Appl., Singap. 12, No. 6, 635-666 (2014). MSC: 33E30 33C45 44A15 11B83 PDFBibTeX XMLCite \textit{D. Dominici} and \textit{W. van Assche}, Anal. Appl., Singap. 12, No. 6, 635--666 (2014; Zbl 1303.33021) Full Text: DOI arXiv
Ndayiragije, F.; Van Assche, W. Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians. (English) Zbl 1283.33010 J. Phys. A, Math. Theor. 46, No. 50, Article ID 505201, 17 p. (2013). Reviewer: Peter Massopust (München) MSC: 33C47 42C05 81R05 PDFBibTeX XMLCite \textit{F. Ndayiragije} and \textit{W. Van Assche}, J. Phys. A, Math. Theor. 46, No. 50, Article ID 505201, 17 p. (2013; Zbl 1283.33010) Full Text: DOI arXiv
Ndayiragije, François; Van Assche, Walter Asymptotics for the ratio and the zeros of multiple Charlier polynomials. (English) Zbl 1284.33009 J. Approx. Theory 170, 3-20 (2013). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{F. Ndayiragije} and \textit{W. Van Assche}, J. Approx. Theory 170, 3--20 (2013; Zbl 1284.33009) Full Text: DOI
Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun The generalized Krawtchouk polynomials and the fifth Painlevé equation. (English) Zbl 1279.33013 J. Difference Equ. Appl. 19, No. 9, 1437-1451 (2013). MSC: 33C45 33C47 33E17 34M55 PDFBibTeX XMLCite \textit{L. Boelen} et al., J. Difference Equ. Appl. 19, No. 9, 1437--1451 (2013; Zbl 1279.33013) Full Text: DOI arXiv
Filipuk, Galina; Van Assche, Walter; Zhang, Lun Ladder operators and differential equations for multiple orthogonal polynomials. (English) Zbl 1271.33004 J. Phys. A, Math. Theor. 46, No. 20, Article ID 205204, 24 p. (2013). Reviewer: Roelof Koekoek (Delft) MSC: 33C47 33C45 PDFBibTeX XMLCite \textit{G. Filipuk} et al., J. Phys. A, Math. Theor. 46, No. 20, Article ID 205204, 24 p. (2013; Zbl 1271.33004) Full Text: DOI arXiv
Filipuk, Galina; Van Assche, Walter Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation. (English) Zbl 1269.34095 Proc. Am. Math. Soc. 141, No. 2, 551-562 (2013). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 33E17 33C47 42C05 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{W. Van Assche}, Proc. Am. Math. Soc. 141, No. 2, 551--562 (2013; Zbl 1269.34095) Full Text: DOI arXiv
Smet, Christophe; Van Assche, Walter Orthogonal polynomials on a bi-lattice. (English) Zbl 1262.34103 Constr. Approx. 36, No. 2, 215-242 (2012). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 34M55 39A12 42C05 33C47 65Q30 PDFBibTeX XMLCite \textit{C. Smet} and \textit{W. Van Assche}, Constr. Approx. 36, No. 2, 215--242 (2012; Zbl 1262.34103) Full Text: DOI arXiv
Ndayiragije, François; Van Assche, Walter Asymptotics for the ratio and the zeros of multiple Charlier polynomials. (English) Zbl 1246.42022 J. Approx. Theory 164, No. 6, 823-840 (2012). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Ndayiragije} and \textit{W. Van Assche}, J. Approx. Theory 164, No. 6, 823--840 (2012; Zbl 1246.42022) Full Text: DOI arXiv
Filipuk, Galina; Van Assche, Walter; Zhang, Lun The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation. (English) Zbl 1253.33012 J. Phys. A, Math. Theor. 45, No. 20, Article ID 205201, 13 p. (2012). Reviewer: Andrei A. Kapaev (Trieste) MSC: 33C47 34M55 PDFBibTeX XMLCite \textit{G. Filipuk} et al., J. Phys. A, Math. Theor. 45, No. 20, Article ID 205201, 13 p. (2012; Zbl 1253.33012) Full Text: DOI arXiv
Haneczok, Maciej; Van Assche, Walter Interlacing properties of zeros of multiple orthogonal polynomials. (English) Zbl 1235.33007 J. Math. Anal. Appl. 389, No. 1, 429-438 (2012). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Haneczok} and \textit{W. Van Assche}, J. Math. Anal. Appl. 389, No. 1, 429--438 (2012; Zbl 1235.33007) Full Text: DOI arXiv
Filipuk, Galina; Van Assche, Walter Recurrence coefficients of a new generalization of the Meixner polynomials. (English) Zbl 1250.33015 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 068, 11 p. (2011). Reviewer: Dmitri Artamonov (Moscow) MSC: 33C47 33E17 34M55 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{W. Van Assche}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 068, 11 p. (2011; Zbl 1250.33015) Full Text: DOI arXiv
Van Assche, Walter (ed.) Special issue: Selected papers based on the presentations at the 10th international symposium on orthogonal polynomials, special functions and applications, OPSFA, Leuven, Belgium, July 20–25, 2009. (English) Zbl 1250.33001 J. Comput. Appl. Math. 236, No. 1, 117 p. (2011). MSC: 33-06 33C47 33F99 00B25 PDFBibTeX XML
Van Assche, Walter Nearest neighbor recurrence relations for multiple orthogonal polynomials. (English) Zbl 1231.33014 J. Approx. Theory 163, No. 10, 1427-1448 (2011). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 163, No. 10, 1427--1448 (2011; Zbl 1231.33014) Full Text: DOI arXiv
Boelen, Lies; Filipuk, Galina; Van Assche, Walter Recurrence coefficients of generalized Meixner polynomials and Painlevé equations. (English) Zbl 1217.34135 J. Phys. A, Math. Theor. 44, No. 3, Article ID 035202, 19 p. (2011). Reviewer: Galina Filipuk (Warszawa) MSC: 34M55 33C47 PDFBibTeX XMLCite \textit{L. Boelen} et al., J. Phys. A, Math. Theor. 44, No. 3, Article ID 035202, 19 p. (2011; Zbl 1217.34135) Full Text: DOI
Van Assche, Walter Orthogonal polynomials and approximation theory: some open problems. (English) Zbl 1200.41014 Arvesú, Jorge (ed.) et al., Recent trends in orthogonal polynomials and approximation theory. International workshop in honor of Guillermo López Lagomasino’s 60th birthday, Universidad Carlos III de Madrid, Leganés, Spain. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4803-6/pbk). Contemporary Mathematics 507, 287-298 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 41A21 30E10 42C05 47B36 PDFBibTeX XMLCite \textit{W. Van Assche}, Contemp. Math. 507, 287--298 (2010; Zbl 1200.41014)
Smet, Christophe; van Assche, Walter Mellin transforms for multiple Jacobi-Piñeiro polynomials and a \(q\)-analogue. (English) Zbl 1202.33007 J. Approx. Theory 162, No. 4, 782-806 (2010). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C05 42C05 33C45 PDFBibTeX XMLCite \textit{C. Smet} and \textit{W. van Assche}, J. Approx. Theory 162, No. 4, 782--806 (2010; Zbl 1202.33007) Full Text: DOI
Boelen, Lies; van Assche, Walter Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials. (English) Zbl 1187.39012 Proc. Am. Math. Soc. 138, No. 4, 1317-1331 (2010). MSC: 39A13 33D45 PDFBibTeX XMLCite \textit{L. Boelen} and \textit{W. van Assche}, Proc. Am. Math. Soc. 138, No. 4, 1317--1331 (2010; Zbl 1187.39012) Full Text: DOI
Boelen, Lies; Smet, Christophe; van Assche, Walter \(q\)-discrete Painlevé equations for recurrence coefficients of modified \(q\)-Freud orthogonal polynomials. (English) Zbl 1189.39009 J. Difference Equ. Appl. 16, No. 1, 37-53 (2010). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 33C47 33D45 PDFBibTeX XMLCite \textit{L. Boelen} et al., J. Difference Equ. Appl. 16, No. 1, 37--53 (2010; Zbl 1189.39009) Full Text: DOI arXiv
Smet, Christophe; Van Assche, Walter Irrationality proof of a \(q\)-extension of \(\zeta (2)\) using little \(q\)-Jacobi polynomials. (English) Zbl 1226.11074 Acta Arith. 138, No. 2, 165-178 (2009). Reviewer: Peter Bundschuh (Köln) MSC: 11J72 11J82 33D45 41A21 PDFBibTeX XMLCite \textit{C. Smet} and \textit{W. Van Assche}, Acta Arith. 138, No. 2, 165--178 (2009; Zbl 1226.11074) Full Text: DOI arXiv
Ismail, Mourad E. H. [Van Assche, Walter] Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Paperback reprint of the 2005 original. (English) Zbl 1172.42008 Encyclopedia of Mathematics and its Applications 98. Cambridge: Cambridge University Press (ISBN 978-0-521-14347-9/pbk). xviii, 708 p. (2009). MSC: 42C05 42C15 33D80 33C45 33C50 33D45 42-02 33-02 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Paperback reprint of the 2005 original. Cambridge: Cambridge University Press (2009; Zbl 1172.42008)
Ceniceros, Judit Minguez; Van Assche, Walter Multiple orthogonal polynomials on the unit circle. (English) Zbl 1172.41004 Constr. Approx. 28, No. 2, 173-197 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 42C05 30E25 35Q15 PDFBibTeX XMLCite \textit{J. M. Ceniceros} and \textit{W. Van Assche}, Constr. Approx. 28, No. 2, 173--197 (2008; Zbl 1172.41004) Full Text: DOI
Coussement, E.; Coussement, J.; van Assche, W. Asymptotic zero distribution for a class of multiple orthogonal polynomials. (English) Zbl 1165.33007 Trans. Am. Math. Soc. 360, No. 10, 5571-5588 (2008). Reviewer: Carsten Schneider (Linz) MSC: 33C45 42C05 15A18 PDFBibTeX XMLCite \textit{E. Coussement} et al., Trans. Am. Math. Soc. 360, No. 10, 5571--5588 (2008; Zbl 1165.33007) Full Text: DOI arXiv
Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W. Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. (English) Zbl 1143.42027 J. Approx. Theory 150, No. 2, 214-238 (2008). Reviewer: Stamatis Koumandos (Nicosia) MSC: 42C05 33C47 74Gxx 31-XX PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Approx. Theory 150, No. 2, 214--238 (2008; Zbl 1143.42027) Full Text: DOI
Van Assche, Walter Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials. (English) Zbl 1128.39013 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 687-725 (2007). MSC: 39A12 33C45 34M55 PDFBibTeX XMLCite \textit{W. Van Assche}, in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 687--725 (2007; Zbl 1128.39013) Full Text: arXiv
Postelmans, Kelly; Van Assche, Walter Irrationality of \(\zeta _{q}(1)\) and \(\zeta _{q}(2)\). (English) Zbl 1138.11027 J. Number Theory 126, No. 1, 119-154 (2007). Reviewer: Wadim Zudilin (Moskva) MSC: 11J72 11M06 11M41 11J82 33D45 41A28 42C05 PDFBibTeX XMLCite \textit{K. Postelmans} and \textit{W. Van Assche}, J. Number Theory 126, No. 1, 119--154 (2007; Zbl 1138.11027) Full Text: DOI arXiv
Van Assche, Walter Rakhmanov’s theorem for orthogonal matrix polynomials on the unit circle. (English) Zbl 1136.33005 J. Approximation Theory 146, No. 2, 227-242 (2007). MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 146, No. 2, 227--242 (2007; Zbl 1136.33005) Full Text: DOI arXiv
Van Assche, Walter Padé and Hermite-Padé approximation and orthogonality. (English) Zbl 1102.41017 Surv. Approx. Theory 2, 61-91 (2006). MSC: 41A21 33C45 41A28 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, Surv. Approx. Theory 2, 61--91 (2006; Zbl 1102.41017) Full Text: arXiv EuDML EMIS
Coussement, J.; van Assche, W. Differential equations for multiple orthogonal polynomials with respect to classical weights: raising and lowering operators. (English) Zbl 1097.33004 J. Phys. A, Math. Gen. 39, No. 13, 3311-3318 (2006). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 33E30 PDFBibTeX XMLCite \textit{J. Coussement} and \textit{W. van Assche}, J. Phys. A, Math. Gen. 39, No. 13, 3311--3318 (2006; Zbl 1097.33004) Full Text: DOI
Ismail, Mourad E. H. [Van Assche, Walter] Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. (English) Zbl 1082.42016 Encyclopedia of Mathematics and its Applications 98. Cambridge: Cambridge University Press (ISBN 0-521-78201-5). xviii, 706 p. (2005). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 42C15 33D80 33C45 33C50 33D45 42-02 33-02 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Classical and quantum orthogonal polynomials in one variable. With two chapters by Walter Van Assche. Cambridge: Cambridge University Press (2005; Zbl 1082.42016)
Daruis, Leyla; Njåstad, Olav; Van Assche, Walter Szegő quadrature and frequency analysis. (English) Zbl 1122.41017 ETNA, Electron. Trans. Numer. Anal. 19, 48-57 (2005). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 41A55 33C45 94A12 PDFBibTeX XMLCite \textit{L. Daruis} et al., ETNA, Electron. Trans. Numer. Anal. 19, 48--57 (2005; Zbl 1122.41017) Full Text: EuDML EMIS
Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B. Generalizations of orthogonal polynomials. (English) Zbl 1068.42021 J. Comput. Appl. Math. 179, No. 1-2, 57-95 (2005). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 11J83 15B52 65D32 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 179, No. 1--2, 57--95 (2005; Zbl 1068.42021) Full Text: DOI
Beckermann, B.; Coussement, J.; Van Assche, W. Multiple Wilson and Jacobi–Piñeiro polynomials. (English) Zbl 1066.33005 J. Approximation Theory 132, No. 2, 155-181 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 42C05 42C10 33C47 PDFBibTeX XMLCite \textit{B. Beckermann} et al., J. Approx. Theory 132, No. 2, 155--181 (2005; Zbl 1066.33005) Full Text: DOI arXiv
Coussement, J.; van Assche, W. A continuum limit of the relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients. (English) Zbl 1092.37049 J. Phys. A, Math. Gen. 38, No. 15, 3337-3366 (2005). MSC: 37K60 37K10 37K15 39A70 42C05 82C05 35Q75 PDFBibTeX XMLCite \textit{J. Coussement} and \textit{W. van Assche}, J. Phys. A, Math. Gen. 38, No. 15, 3337--3366 (2005; Zbl 1092.37049) Full Text: DOI Link
Postelmans, Kelly; Van Assche, Walter Multiple little \(q\)-Jacobi polynomials. (English) Zbl 1068.33031 J. Comput. Appl. Math. 178, No. 1-2, 361-375 (2005). Reviewer: Youssef Ben Cheikh (Monastir) MSC: 33D45 42C05 PDFBibTeX XMLCite \textit{K. Postelmans} and \textit{W. Van Assche}, J. Comput. Appl. Math. 178, No. 1--2, 361--375 (2005; Zbl 1068.33031) Full Text: DOI arXiv
Coussement, Jonathan; Van Assche, Walter Gaussian quadrature for multiple orthogonal polynomials. (English) Zbl 1061.41021 J. Comput. Appl. Math. 178, No. 1-2, 131-145 (2005). MSC: 41A55 PDFBibTeX XMLCite \textit{J. Coussement} and \textit{W. Van Assche}, J. Comput. Appl. Math. 178, No. 1--2, 131--145 (2005; Zbl 1061.41021) Full Text: DOI arXiv
Van Assche, Walter Difference equations for multiple Charlier and Meixner polynomials. (English) Zbl 1068.33017 Aulbach, Bernd (ed.) et al., New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30–August 3, 2001. Boca Raton, FL: CRC Press (ISBN 0-415-31675-8/hbk). 549-557 (2004). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 39A13 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, in: New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30--August 3, 2001. Boca Raton, FL: CRC Press. 549--557 (2004; Zbl 1068.33017)
Geronimo, Jeffrey S.; Bruno, Oscar; van Assche, Walter WKB and turning point theory for second-order difference equations. (English) Zbl 1064.39018 Janas, Jan (ed.) et al., Spectral methods for operators of mathematical physics. Proceedings of the international conference on operator theory and its applications in mathematical physics, OTAMP, Bedlewo, Poland, 2002. Basel: Birkhäuser (ISBN 3-7643-7133-1/hbk). Operator Theory: Advances and Applications 154, 101-138 (2004). MSC: 39A12 39A11 34M60 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., Oper. Theory: Adv. Appl. 154, 101--138 (2004; Zbl 1064.39018)
Álvarez-Nodarse, Renato (ed.); Marcellán, Francisco (ed.); Van Assche, Walter (ed.) Laredo lectures on orthogonal polynomials and special functions. Lectures from the summer school, Laredo, Spain, July 24–28, 2000. (English) Zbl 1079.33001 Advances in the Theory of Special Functions and Orthogonal Polynomials. Hauppauge, NY: Nova Science Publishers (ISBN 1-59454-009-8 ). viii, 210 p. (2004). MSC: 33-06 42-06 00B25 33C67 42C05 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} (ed.) et al., Laredo lectures on orthogonal polynomials and special functions. Lectures from the summer school, Laredo, Spain, July 24--28, 2000. Hauppauge, NY: Nova Science Publishers (2004; Zbl 1079.33001)
Kuijlaars, A. B. J.; Mclaughlin, K. T.-R.; Van Assche, W.; Vanlessen, M. The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]. (English) Zbl 1082.42017 Adv. Math. 188, No. 2, 337-398 (2004). Reviewer: Doron S. Lubinsky (Atlanta) MSC: 42C05 30E25 33C10 35Q15 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Adv. Math. 188, No. 2, 337--398 (2004; Zbl 1082.42017) Full Text: DOI arXiv
Aptekarev, A. I.; Van Assche, W. Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. (English) Zbl 1061.30035 J. Approximation Theory 129, No. 2, 129-166 (2004). Reviewer: Arno Kuijlaars (Leuven) MSC: 30E25 30E10 30E15 41A21 41A60 42C05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{W. Van Assche}, J. Approx. Theory 129, No. 2, 129--166 (2004; Zbl 1061.30035) Full Text: DOI
van Assche, Walter; Foupouagnigni, Mama Analysis of non-linear recurrence relations for the recurrence coefficients of generalized Charlier polynomials. (English) Zbl 1362.39018 J. Nonlinear Math. Phys. 10, Suppl. 2, 231-237 (2003). MSC: 39A12 33E17 33C45 33D45 PDFBibTeX XMLCite \textit{W. van Assche} and \textit{M. Foupouagnigni}, J. Nonlinear Math. Phys. 10, 231--237 (2003; Zbl 1362.39018) Full Text: DOI
Daruis, Leyla; Njåstad, Olav; Van Assche, Walter Para-orthogonal polynomials in frequency analysis. (English) Zbl 1042.94001 Rocky Mt. J. Math. 33, No. 2, 629-645 (2003). MSC: 94A11 33C45 94A12 42C05 PDFBibTeX XMLCite \textit{L. Daruis} et al., Rocky Mt. J. Math. 33, No. 2, 629--645 (2003; Zbl 1042.94001) Full Text: DOI
Gawronski, Wolfgang; Van Assche, Walter Strong asymptotics for relativistic Hermite polynomials. (English) Zbl 1035.33005 Rocky Mt. J. Math. 33, No. 2, 489-524 (2003). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 42C05 41A60 PDFBibTeX XMLCite \textit{W. Gawronski} and \textit{W. Van Assche}, Rocky Mt. J. Math. 33, No. 2, 489--524 (2003; Zbl 1035.33005) Full Text: DOI
Aptekarev, A. I.; Branquinho, A.; Van Assche, W. Multiple orthogonal polynomials for classical weights. (English) Zbl 1033.33002 Trans. Am. Math. Soc. 355, No. 10, 3887-3914 (2003). Reviewer: Juri M. Rappoport (Moskva) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Trans. Am. Math. Soc. 355, No. 10, 3887--3914 (2003; Zbl 1033.33002) Full Text: DOI
Koelink, Erik (ed.); Van Assche, Walter (ed.) Orthogonal polynomials and special functions. Notes for the lectures of the summer school, Leuven, Belgium, August 12–16, 2002. (English) Zbl 1015.00020 Lecture Notes in Mathematics. 1817. Berlin: Springer. x, 249 p. (2003). MSC: 00B25 33-06 34-06 30-06 41-06 PDFBibTeX XMLCite \textit{E. Koelink} (ed.) and \textit{W. Van Assche} (ed.), Orthogonal polynomials and special functions. Notes for the lectures of the summer school, Leuven, Belgium, August 12--16, 2002. Berlin: Springer (2003; Zbl 1015.00020) Full Text: DOI
Coussement, Els; Van Assche, Walter Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. (English) Zbl 1078.33010 J. Comput. Appl. Math. 153, No. 1-2, 141-149 (2003). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{E. Coussement} and \textit{W. Van Assche}, J. Comput. Appl. Math. 153, No. 1--2, 141--149 (2003; Zbl 1078.33010) Full Text: DOI
Arvesú, J.; Coussement, J.; Van Assche, W. Some discrete multiple orthogonal polynomials. (English) Zbl 1021.33006 J. Comput. Appl. Math. 153, No. 1-2, 19-45 (2003). Reviewer: Marcel G.de Bruin (Delft) MSC: 33C45 33C10 42C05 41A28 PDFBibTeX XMLCite \textit{J. Arvesú} et al., J. Comput. Appl. Math. 153, No. 1--2, 19--45 (2003; Zbl 1021.33006) Full Text: DOI
Coussement, Els; Van Assche, Walter Multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. (English) Zbl 1025.33004 Constructive Approximation 19, No. 2, 237-263 (2003). Reviewer: Marcel G.de Bruin (Delft) MSC: 33C45 33C10 41A28 42C05 PDFBibTeX XMLCite \textit{E. Coussement} and \textit{W. Van Assche}, Constr. Approx. 19, No. 2, 237--263 (2003; Zbl 1025.33004) Full Text: DOI
Sri Ranga, A.; Van Assche, Walter Blumenthal’s theorem for Laurent orthogonal polynomials. (English) Zbl 1022.42014 J. Approximation Theory 117, No. 2, 255-278 (2002). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 47B36 PDFBibTeX XMLCite \textit{A. Sri Ranga} and \textit{W. Van Assche}, J. Approx. Theory 117, No. 2, 255--278 (2002; Zbl 1022.42014) Full Text: DOI
Coussement, J.; Kuijlaars, A. B. J.; Van Assche, W. Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials. (English) Zbl 1001.35116 Inverse Probl. 18, No. 3, 923-942 (2002). MSC: 35Q58 37K15 PDFBibTeX XMLCite \textit{J. Coussement} et al., Inverse Probl. 18, No. 3, 923--942 (2002; Zbl 1001.35116) Full Text: DOI arXiv
Van Assche, Walter Little \(q\)-Legendre polynomials and irrationality of certain Lambert series. (English) Zbl 1035.11032 Ramanujan J. 5, No. 3, 295-310 (2001). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 33D45 41A21 PDFBibTeX XMLCite \textit{W. Van Assche}, Ramanujan J. 5, No. 3, 295--310 (2001; Zbl 1035.11032) Full Text: DOI arXiv
Aptekarev, A. I.; Van Assche, W. Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice. (English) Zbl 1018.37042 J. Phys. A, Math. Gen. 34, No. 48, 10627-10637 (2001). Reviewer: A.Pickering (Salamanca) MSC: 37K10 42C05 33C45 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{W. Van Assche}, J. Phys. A, Math. Gen. 34, No. 48, 10627--10637 (2001; Zbl 1018.37042) Full Text: DOI Link
Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J. Riemann-Hilbert problems for multiple orthogonal polynomials. (English) Zbl 0997.42012 Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29-June 9, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 30, 23-59 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30E25 PDFBibTeX XMLCite \textit{W. Van Assche} et al., NATO Sci. Ser. II, Math. Phys. Chem. 30, 23--59 (2001; Zbl 0997.42012)
Coussement, Els; Van Assche, Walter Some properties of multiple orthogonal polynomials associated with Macdonald functions. (English) Zbl 0984.33004 J. Comput. Appl. Math. 133, No. 1-2, 253-261 (2001). Reviewer: S.Ponnusamy (Chennai) MSC: 33C45 33C10 PDFBibTeX XMLCite \textit{E. Coussement} and \textit{W. Van Assche}, J. Comput. Appl. Math. 133, No. 1--2, 253--261 (2001; Zbl 0984.33004) Full Text: DOI
Van Assche, Walter; Coussement, Els Some classical multiple orthogonal polynomials. (English) Zbl 0969.33005 J. Comput. Appl. Math. 127, No. 1-2, 317-347 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Van Assche} and \textit{E. Coussement}, J. Comput. Appl. Math. 127, No. 1--2, 317--347 (2001; Zbl 0969.33005) Full Text: DOI arXiv
Van Assche, W.; Yáñez, R. J.; González-Férez, R.; Dehesa, Jesús S. Functionals of Gegenbauer polynomials and \(D\)-dimensional hydrogenic momentum expectation values. (English) Zbl 0977.33006 J. Math. Phys. 41, No. 9, 6600-6613 (2000). Reviewer: J.Saurer (Regensburg) MSC: 33C45 81V45 PDFBibTeX XMLCite \textit{W. Van Assche} et al., J. Math. Phys. 41, No. 9, 6600--6613 (2000; Zbl 0977.33006) Full Text: DOI
Buyarov, V. S.; López-Artés, P.; Martínez-Finkelshtein, A.; Van Assche, W. Information entropy of Gegenbauer polynomials. (English) Zbl 1008.81015 J. Phys. A, Math. Gen. 33, No. 37, 6549-6560 (2000). MSC: 81P99 94A17 33C45 PDFBibTeX XMLCite \textit{V. S. Buyarov} et al., J. Phys. A, Math. Gen. 33, No. 37, 6549--6560 (2000; Zbl 1008.81015) Full Text: DOI Link
Van Assche, Walter Nonsymmetric linear difference equations for multiple orthogonal polynomials. (English) Zbl 0962.42016 Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 415-429 (2000). MSC: 42C05 39A10 33C45 37K60 47B36 PDFBibTeX XMLCite \textit{W. Van Assche}, in: SIDE III -- Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16--22, 1998. Providence, RI: American Mathematical Society (AMS). 415--429 (2000; Zbl 0962.42016)
Van Assche, W.; Yakubovich, S. B. Multiple orthogonal polynomials associated with Macdonald functions. (English) Zbl 0959.42016 Integral Transforms Spec. Funct. 9, No. 3, 229-244 (2000). MSC: 42C05 33C10 PDFBibTeX XMLCite \textit{W. Van Assche} and \textit{S. B. Yakubovich}, Integral Transforms Spec. Funct. 9, No. 3, 229--244 (2000; Zbl 0959.42016) Full Text: DOI arXiv
Dimitrov, Dimitar K.; Van Assche, Walter Lamé differential equations and electrostatics. (English) Zbl 0952.34023 Proc. Am. Math. Soc. 128, No. 12, 3621-3628 (2000); erratum ibid. 131, No. 7, 2303 (2003). MSC: 34B30 33C45 34C10 42C05 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{W. Van Assche}, Proc. Am. Math. Soc. 128, No. 12, 3621--3628 (2000; Zbl 0952.34023) Full Text: DOI
Van Assche, Walter Zero distribution of orthogonal polynomials with asymptotically periodic varying recurrence coefficients. (English) Zbl 1002.42018 Priezzhev, V. B. (ed.) et al., Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30-August 7, 1998. Dubna: Joint Institute for Nuclear Research. 392-402 (1999). MSC: 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, in: Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30--August 7, 1998. Dubna: Joint Institute for Nuclear Research. 392--402 (1999; Zbl 1002.42018)
de Andrade, E. X. L.; Sri Ranga, A.; Van Assche, W. Asymptotics for polynomials satisfying a certain twin asymptotic periodic recurrence relation. (English) Zbl 0971.42014 Methods Appl. Anal. 6, No. 4, 535-548 (1999). Reviewer: Marcel G. de Bruin (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{E. X. L. de Andrade} et al., Methods Appl. Anal. 6, No. 4, 535--548 (1999; Zbl 0971.42014) Full Text: DOI
Yáñez, R. J.; Van Assche, W.; González-Férez, R.; Dehesa, Jesús S. Entropic integrals of hyperspherical harmonics and spatial entropy of \(D\)-dimensional central potentials. (English) Zbl 0968.81011 J. Math. Phys. 40, No. 11, 5675-5686 (1999). MSC: 81Q05 81Q99 81P68 33C50 PDFBibTeX XMLCite \textit{R. J. Yáñez} et al., J. Math. Phys. 40, No. 11, 5675--5686 (1999; Zbl 0968.81011) Full Text: DOI
Van Assche, W.; Parthasarathy, P. R.; Lenin, R. B. Spectral representation of four finite birth and death processes. (English) Zbl 0971.60085 Math. Sci. 24, No. 2, 105-112 (1999). Reviewer: D.R.Grey (Sheffield) MSC: 60J80 33C45 42C05 PDFBibTeX XMLCite \textit{W. Van Assche} et al., Math. Sci. 24, No. 2, 105--112 (1999; Zbl 0971.60085)
Kuijlaars, A. B. J.; Van Assche, W. Extremal polynomials on discrete sets. (English) Zbl 1033.42024 Proc. Lond. Math. Soc., III. Ser. 79, No. 1, 191-221 (1999). Reviewer: Youssef Ben Cheikh (Monastir) MSC: 42C05 31A15 33C45 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{W. Van Assche}, Proc. Lond. Math. Soc. (3) 79, No. 1, 191--221 (1999; Zbl 1033.42024) Full Text: DOI
Van Assche, Walter Multiple orthogonal polynomials, irrationality and transcendence. (English) Zbl 0952.42014 Berndt, Bruce C. (ed.) et al., Continued fractions: from analytic number theory to constructive approximation. A volume in honor of L. J. Lange. Proceedings of the conference, University of Missouri–Columbia, Columbia, MO, USA, May 20-23, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 236, 325-342 (1999). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 11J72 11J81 41A28 33C45 PDFBibTeX XMLCite \textit{W. Van Assche}, Contemp. Math. 236, 325--342 (1999; Zbl 0952.42014)
Kuijlaars, A. B. J.; Van Assche, W. The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients. (English) Zbl 0967.33009 J. Approximation Theory 99, No. 1, 167-197 (1999). Reviewer: H.-J.Glaeske (Jena) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{W. Van Assche}, J. Approx. Theory 99, No. 1, 167--197 (1999; Zbl 0967.33009) Full Text: DOI Link
Golinskii, Leonid; Nevai, Paul; Pintér, Ferenc; van Assche, Walter Perturbation of orthogonal polynomials on an arc of the unit circle. II. (English) Zbl 0958.42016 J. Approximation Theory 96, No. 1, 1-32 (1999). MSC: 42C05 PDFBibTeX XMLCite \textit{L. Golinskii} et al., J. Approx. Theory 96, No. 1, 1--32 (1999; Zbl 0958.42016) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H.; Van Assche, Walter Tau-function constructions of the recurrence coefficients of orthogonal polynomials. (English) Zbl 0930.42012 Adv. Appl. Math. 20, No. 2, 141-168 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{Y. Chen} et al., Adv. Appl. Math. 20, No. 2, 141--168 (1998; Zbl 0930.42012) Full Text: DOI