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
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
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
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
Aptekarev, Alexander I.; Kuijlaars, Arno B. J.; Van Assche, Walter Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0). (English) Zbl 1156.41004 IMRP, Int. Math. Res. Pap. 2008, Article ID rpm007, 128 p. (2008). MSC: 41A21 30E10 30E15 41A20 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., IMRP, Int. Math. Res. Pap. 2007, Article ID rpm007, 128 p. (2008; Zbl 1156.41004) Full Text: DOI arXiv
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
Kuijlaars, A. B. J.; Stahl, H.; Van Assche, W.; Wielonsky, F. Type II Hermite-Padé approximation to the exponential function. (English) Zbl 1119.41010 J. Comput. Appl. Math. 207, No. 2, 227-244 (2007). Reviewer: Jacek Gilewicz (Marseille) MSC: 41A21 41A28 30E10 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., J. Comput. Appl. Math. 207, No. 2, 227--244 (2007; Zbl 1119.41010) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Assche, W.; Wielonsky, F. Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach. (English) Zbl 1084.41007 Constructive Approximation 21, No. 3, 351-412 (2005). Reviewer: Jürgen Müller (Trier) MSC: 41A21 30E10 30E25 35Q15 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Constr. Approx. 21, No. 3, 351--412 (2005; Zbl 1084.41007) Full Text: DOI arXiv
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)
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
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
Kuijlaars, Arno; Stahl, Herbert; Van Assche, Walter; Wielonsky, Franck 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.) (French) Zbl 1056.30038 C. R., Math., Acad. Sci. Paris 336, No. 11, 893-896 (2003). Reviewer: Adhemar Bultheel (Leuven) MSC: 30E15 41A21 30C85 30E25 PDFBibTeX XMLCite \textit{A. Kuijlaars} et al., C. R., Math., Acad. Sci. Paris 336, No. 11, 893--896 (2003; Zbl 1056.30038) 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
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
Marcellán, Francisco; Van Assche, Walter Relative asymptotics for orthogonal polynomials with a Sobolev inner product. (English) Zbl 0771.42014 J. Approximation Theory 72, No. 2, 193-209 (1993). Reviewer: H.Stahl (Berlin) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{W. Van Assche}, J. Approx. Theory 72, No. 2, 193--209 (1993; Zbl 0771.42014) Full Text: DOI
Geronimo, J. S.; Smith, D.; Van Assche, Walter Strong asymptotics for orthogonal polynomials with regularly and slowly varying recurrence coefficients. (English) Zbl 0772.42012 J. Approximation Theory 72, No. 2, 141-158 (1993). Reviewer: H.Stahl (Berlin) MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., J. Approx. Theory 72, No. 2, 141--158 (1993; Zbl 0772.42012) Full Text: DOI
Geronimo, Jeffrey S.; Van Assche, Walter Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients. (English) Zbl 0705.42018 J. Approximation Theory 62, No. 1, 47-69 (1990). Reviewer: D.S.Lubinsky MSC: 42C05 39A11 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{W. Van Assche}, J. Approx. Theory 62, No. 1, 47--69 (1990; Zbl 0705.42018) Full Text: DOI
Van Assche, Walter; Geronimo, Jeffrey S. Asymptotics for orthogonal polynomials with regularly varying recurrence coefficients. (English) Zbl 0694.41039 Rocky Mt. J. Math. 19, No. 1, 39-49 (1989). Reviewer: D.S.Lubinsky MSC: 41A60 42C05 PDFBibTeX XMLCite \textit{W. Van Assche} and \textit{J. S. Geronimo}, Rocky Mt. J. Math. 19, No. 1, 39--49 (1989; Zbl 0694.41039) Full Text: DOI
Van Assche, Walter Four lectures on orthogonal polynomials. (English) Zbl 0760.42012 Orthogonal polynomials and their applications, Proc. 5th Symp, Vigo/Spain 1988, 1-26 (1989). Reviewer: V.Totik (Szeged) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{W. Van Assche}, in: Polinomios ortogonales y sus aplicaciones. Actas del V simposium, Vigo, España, del 8 al 10 de septiembre de 1988. Vigo: Escuela Técnica Superior de Ingenieros Industriales de Vigo. 1--26 (1989; Zbl 0760.42012)
Van Assche, Walter The ratio of q-like orthogonal polynomials. (English) Zbl 0634.33018 J. Math. Anal. Appl. 128, 535-547 (1987). Reviewer: D.S.Lubinsky MSC: 33C45 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Math. Anal. Appl. 128, 535--547 (1987; Zbl 0634.33018) Full Text: DOI
Van Assche, Walter Asymptotics for orthogonal polynomials. (English) Zbl 0617.42014 Lecture Notes in Mathematics, 1265. Berlin etc.: Springer-Verlag. VI, 201 p.; DM 35.00 (1987). Reviewer: M.G.de Bruin MSC: 42C05 42-02 33C45 22-02 40A15 41A55 39A10 41A60 60J80 PDFBibTeX XML Full Text: DOI