Kuijlaars, Arno B. J. Extremal polynomials on the \(n\)-grid. (English) Zbl 1510.41003 J. Approx. Theory 288, Article ID 105875, 15 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A20 65D05 65D15 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, J. Approx. Theory 288, Article ID 105875, 15 p. (2023; Zbl 1510.41003) Full Text: DOI arXiv
Deschout, Klaas; Kuijlaars, Arno B. J. Double scaling limit for modified Jacobi-Angelesco polynomials. (English) Zbl 1254.30046 Brändén, Petter (ed.) et al., Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. Basel: Birkhäuser (ISBN 978-3-0348-0141-6/hbk; 978-3-0348-0142-3/ebook). Trends in Mathematics, 115-161 (2011). MSC: 30E15 41A60 42C05 PDFBibTeX XMLCite \textit{K. Deschout} and \textit{A. B. J. Kuijlaars}, in: Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. Basel: Birkhäuser. 115--161 (2011; Zbl 1254.30046) Full Text: DOI arXiv
Aptekarev, A. I.; Kuijlaars, A. B. J. Hermite-Padé approximations and multiple orthogonal polynomial ensembles. (English. Russian original) Zbl 1243.41004 Russ. Math. Surv. 66, No. 6, 1133-1199 (2011); translation from Usp. Mat. Nauk 66, No. 6, 123-190 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 30C15 31A15 42C05 60B20 60G17 60G55 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{A. B. J. Kuijlaars}, Russ. Math. Surv. 66, No. 6, 1133--1199 (2011; Zbl 1243.41004); translation from Usp. Mat. Nauk 66, No. 6, 123--190 (2011) Full Text: DOI
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
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
Duits, M.; Kuijlaars, A. B. J. Painlevé I asymptotics for orthogonal polynomials with respect to a varying quartic weight. (English) Zbl 1129.34059 Nonlinearity 19, No. 10, 2211-2245 (2006). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 42C05 30E25 33C50 33E17 PDFBibTeX XMLCite \textit{M. Duits} and \textit{A. B. J. Kuijlaars}, Nonlinearity 19, No. 10, 2211--2245 (2006; Zbl 1129.34059) 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
Davies, E. B.; Kuijlaars, A. B. J. Spectral asymptotics of the non-self-adjoint harmonic oscillator. (English) Zbl 1073.34093 J. Lond. Math. Soc., II. Ser. 70, No. 2, 420-426 (2004). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L05 47E05 PDFBibTeX XMLCite \textit{E. B. Davies} and \textit{A. B. J. Kuijlaars}, J. Lond. Math. Soc., II. Ser. 70, No. 2, 420--426 (2004; Zbl 1073.34093) Full Text: DOI
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
Kuijlaars, Arno B. J. Riemann-Hilbert analysis for orthogonal polynomials. (English) Zbl 1042.42016 Koelink, Erik (ed.) et al., Orthogonal polynomials and special functions. Notes for the lectures of the summer school, Leuven, Belgium, August 12–16, 2002. Berlin: Springer (ISBN 3-540-40375-2/pbk). Lect. Notes Math. 1817, 167-210 (2003). Reviewer: Doron S. Lubinsky (Atlanta) MSC: 42C05 30E25 33C45 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, Lect. Notes Math. 1817, 167--210 (2003; Zbl 1042.42016)
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
Kuijlaars, Arno B. J.; McLaughlin, Kenneth T.-R. Riemann-Hilbert analysis for Laguerre polynomials with large negative parameter. (English) Zbl 1035.30027 Comput. Methods Funct. Theory 1, No. 1, 205-233 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 30E15 33C45 30C10 30C15 30E25 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{K. T. R. McLaughlin}, Comput. Methods Funct. Theory 1, No. 1, 205--233 (2001; Zbl 1035.30027) Full Text: DOI arXiv
Kuijlaars, A. B. J. Asymptotic analysis of the density of states in random matrix models associated with a slowly decaying weight. (English) Zbl 1009.42015 J. Comput. Appl. Math. 133, No. 1-2, 127-140 (2001). MSC: 42C05 82B44 15B52 33C90 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, J. Comput. Appl. Math. 133, No. 1--2, 127--140 (2001; Zbl 1009.42015) Full Text: DOI
Gautschi, Walter; Kuijlaars, A. B. J. Zeros and critical points of Sobolev orthogonal polynomials. (English) Zbl 0897.42014 J. Approximation Theory 91, No. 1, 117-137 (1997). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E15 65D20 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 91, No. 1, 117--137 (1997; Zbl 0897.42014) Full Text: DOI