Kuijlaars, Arno B. J.; Piorkowski, Mateusz Wiener-Hopf factorizations and matrix-valued orthogonal polynomials. arXiv:2402.07706 Preprint, arXiv:2402.07706 [math.CA] (2024). MSC: 60C05 42C05 14K25 BibTeX Cite \textit{A. B. J. Kuijlaars} and \textit{M. Piorkowski}, ``Wiener-Hopf factorizations and matrix-valued orthogonal polynomials'', Preprint, arXiv:2402.07706 [math.CA] (2024) Full Text: arXiv OA License
Berezin, Sergey; Kuijlaars, Arno B. J.; Parra, Iván Planar orthogonal polynomials as type I multiple orthogonal polynomials. (English) Zbl 1512.42039 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 020, 18 p. (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 33C45 30E25 41A21 PDFBibTeX XMLCite \textit{S. Berezin} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 020, 18 p. (2023; Zbl 1512.42039) Full Text: DOI arXiv
Deaño, Alfredo; Kuijlaars, Arno B. J.; Román, Pablo Asymptotics of matrix valued orthogonal polynomials on \([-1, 1]\). (English) Zbl 1515.30025 Adv. Math. 423, Article ID 109043, 61 p. (2023). MSC: 30C10 47A56 30E25 PDFBibTeX XMLCite \textit{A. Deaño} et al., Adv. Math. 423, Article ID 109043, 61 p. (2023; Zbl 1515.30025) Full Text: DOI arXiv
Groot, Alan; Kuijlaars, Arno B. J. Matrix-valued orthogonal polynomials related to hexagon tilings. (English) Zbl 1518.33006 J. Approx. Theory 270, Article ID 105619, 36 p. (2021). MSC: 33C47 30E25 30F30 31A05 52C20 60B20 PDFBibTeX XMLCite \textit{A. Groot} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 270, Article ID 105619, 36 p. (2021; Zbl 1518.33006) Full Text: DOI arXiv
Duits, Maurice; Kuijlaars, Arno B. J. The two-periodic Aztec diamond and matrix valued orthogonal polynomials. (English) Zbl 1487.60018 J. Eur. Math. Soc. (JEMS) 23, No. 4, 1075-1131 (2021). MSC: 60D05 33C47 82B26 60G55 PDFBibTeX XMLCite \textit{M. Duits} and \textit{A. B. J. Kuijlaars}, J. Eur. Math. Soc. (JEMS) 23, No. 4, 1075--1131 (2021; Zbl 1487.60018) Full Text: DOI arXiv
Charlier, Christophe; Duits, M.; Kuijlaars, A. B. J.; Lenells, J. A periodic hexagon tiling model and non-Hermitian orthogonal polynomials. (English) Zbl 1446.52017 Commun. Math. Phys. 378, No. 1, 401-466 (2020). MSC: 52C20 05B45 42C05 15B52 PDFBibTeX XMLCite \textit{C. Charlier} et al., Commun. Math. Phys. 378, No. 1, 401--466 (2020; Zbl 1446.52017) Full Text: DOI arXiv
Huybrechs, Daan; Kuijlaars, Arno; Lejon, Nele A numerical method for oscillatory integrals with coalescing saddle points. (English) Zbl 1527.65019 SIAM J. Numer. Anal. 57, No. 6, 2707-2729 (2019). MSC: 65D32 41A55 41A60 42C05 PDFBibTeX XMLCite \textit{D. Huybrechs} et al., SIAM J. Numer. Anal. 57, No. 6, 2707--2729 (2019; Zbl 1527.65019) Full Text: DOI arXiv
Kuijlaars, Arno B. J.; Miña-Díaz, Erwin Universality for conditional measures of the sine point process. (English) Zbl 1422.60083 J. Approx. Theory 243, 1-24 (2019). MSC: 60G55 60B20 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{E. Miña-Díaz}, J. Approx. Theory 243, 1--24 (2019; Zbl 1422.60083) Full Text: DOI arXiv
Bonneux, Niels; Kuijlaars, Arno B. J. Exceptional Laguerre polynomials. (English) Zbl 1408.33019 Stud. Appl. Math. 141, No. 4, 547-595 (2018). MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{N. Bonneux} and \textit{A. B. J. Kuijlaars}, Stud. Appl. Math. 141, No. 4, 547--595 (2018; Zbl 1408.33019) Full Text: DOI arXiv
Gómez-Ullate, D.; Kasman, A.; Kuijlaars, A. B. J.; Milson, R. Recurrence relations for exceptional Hermite polynomials. (English) Zbl 1336.33025 J. Approx. Theory 204, 1-16 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{D. Gómez-Ullate} et al., J. Approx. Theory 204, 1--16 (2016; Zbl 1336.33025) Full Text: DOI arXiv
Deaño, Alfredo; Kuijlaars, Arno B. J.; Román, Pablo Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions. (English) Zbl 1433.33007 Constr. Approx. 43, No. 1, 153-196 (2016). MSC: 33C47 33C10 34M50 30E15 30E25 PDFBibTeX XMLCite \textit{A. Deaño} et al., Constr. Approx. 43, No. 1, 153--196 (2016; Zbl 1433.33007) Full Text: DOI arXiv Link
Kuijlaars, A. B. J.; Milson, R. Zeros of exceptional Hermite polynomials. (English) Zbl 1331.33024 J. Approx. Theory 200, 28-39 (2015). Reviewer: Małgorzata Michalska (Lublin) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{R. Milson}, J. Approx. Theory 200, 28--39 (2015; Zbl 1331.33024) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Tovbis, A. The supercritical regime in the normal matrix model with cubic potential. (English) Zbl 1330.82024 Adv. Math. 283, 530-587 (2015). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B41 82B27 42C05 15A18 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{A. Tovbis}, Adv. Math. 283, 530--587 (2015; Zbl 1330.82024) Full Text: DOI arXiv
Kuijlaars, Arno B. J.; López-García, Abey The normal matrix model with a monomial potential, a vector equilibrium problem, and multiple orthogonal polynomials on a star. (English) Zbl 1314.31005 Nonlinearity 28, No. 2, 347-406 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 31A15 30E25 60K35 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{A. López-García}, Nonlinearity 28, No. 2, 347--406 (2015; Zbl 1314.31005) Full Text: DOI arXiv Link
Claeys, Tom; Kuijlaars, Arno B. J.; Wang, Dong Correlation kernels for sums and products of random matrices. (English) Zbl 1330.15040 Random Matrices Theory Appl. 4, No. 4, Article ID 1550017, 31 p. (2014). MSC: 15B52 60B20 15A18 33C60 42C05 PDFBibTeX XMLCite \textit{T. Claeys} et al., Random Matrices Theory Appl. 4, No. 4, Article ID 1550017, 31 p. (2014; Zbl 1330.15040) Full Text: DOI arXiv
Huybrechs, Daan; Kuijlaars, Arno B. J.; Lejon, Nele Zero distribution of complex orthogonal polynomials with respect to exponential weights. (English) Zbl 1297.42037 J. Approx. Theory 184, 28-54 (2014). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 30C15 30E10 31A15 PDFBibTeX XMLCite \textit{D. Huybrechs} et al., J. Approx. Theory 184, 28--54 (2014; Zbl 1297.42037) Full Text: DOI arXiv
Deschout, K.; Kuijlaars, A. B. J. Critical behavior in Angelesco ensembles. (English) Zbl 1278.15039 J. Math. Phys. 53, No. 12, 123523, 21 p. (2012). MSC: 15B52 42C05 60G55 34M60 34L20 82D37 PDFBibTeX XMLCite \textit{K. Deschout} and \textit{A. B. J. Kuijlaars}, J. Math. Phys. 53, No. 12, 123523, 21 p. (2012; Zbl 1278.15039) Full Text: DOI arXiv Link
Bleher, Pavel M.; Kuijlaars, Arno B. J. Orthogonal polynomials in the normal matrix model with a cubic potential. (English) Zbl 1250.42079 Adv. Math. 230, No. 3, 1272-1321 (2012). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 PDFBibTeX XMLCite \textit{P. M. Bleher} and \textit{A. B. J. Kuijlaars}, Adv. Math. 230, No. 3, 1272--1321 (2012; Zbl 1250.42079) Full Text: DOI arXiv
Duits, Maurice; Kuijlaars, Arno B. J.; Mo, Man Yue The Hermitian two matrix model with an even quartic potential. (English) Zbl 1247.15032 Mem. Am. Math. Soc. 1022, v, 105 p. (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 30E25 60B20 30F10 31A05 42C05 82B26 PDFBibTeX XMLCite \textit{M. Duits} et al., The Hermitian two matrix model with an even quartic potential. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1247.15032) 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
Kuijlaars, A. B. J. Universality. (English) Zbl 1236.15071 Akemann, Gernot (ed.) et al., The Oxford handbook of random matrix theory. Oxford: Oxford University Press (ISBN 978-0-19-957400-1/hbk). Oxford Handbooks in Mathematics, 103-134 (2011). MSC: 15B52 15A18 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, in: The Oxford handbook of random matrix theory. Oxford: Oxford University Press. 103--134 (2011; Zbl 1236.15071) Full Text: arXiv
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F. Non-intersecting squared Bessel paths: Critical time and double scaling limit. (English) Zbl 1245.60044 Commun. Math. Phys. 308, No. 1, 227-279 (2011). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G17 60B20 60G55 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Commun. Math. Phys. 308, No. 1, 227--279 (2011; Zbl 1245.60044) Full Text: DOI arXiv
Kuijlaars, Arno B. J. Multiple orthogonal polynomials in random matrix theory. (English) Zbl 1230.42034 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1417-1432 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 15B52 31A15 60C05 60G55 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 1417--1432 (2011; Zbl 1230.42034) Full Text: arXiv Link
Bender, Martin; Delvaux, Steven; Kuijlaars, Arno B. J. Multiple Meixner-Pollaczek polynomials and the six-vertex model. (English) Zbl 1227.82013 J. Approx. Theory 163, No. 11, 1606-1637 (2011). MSC: 82B20 33C45 41A60 41A10 PDFBibTeX XMLCite \textit{M. Bender} et al., J. Approx. Theory 163, No. 11, 1606--1637 (2011; Zbl 1227.82013) Full Text: DOI arXiv
Duits, Maurice; Geudens, Dries; Kuijlaars, Arno B. J. A vector equilibrium problem for the two-matrix model in the quartic/quadratic case. (English) Zbl 1211.31006 Nonlinearity 24, No. 3, 951-993 (2011). MSC: 31A15 42C05 60B20 PDFBibTeX XMLCite \textit{M. Duits} et al., Nonlinearity 24, No. 3, 951--993 (2011; Zbl 1211.31006) Full Text: DOI arXiv
Deaño, A.; Huybrechs, D.; Kuijlaars, A. B. J. Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. (English) Zbl 1223.41017 J. Approx. Theory 162, No. 12, 2202-2224 (2010). Reviewer: Ana-Maria Acu (Sibiu) MSC: 41A55 PDFBibTeX XMLCite \textit{A. Deaño} et al., J. Approx. Theory 162, No. 12, 2202--2224 (2010; Zbl 1223.41017) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Román, P. Recurrence relations and vector equilibrium problems arising from a model of non-intersecting squared Bessel paths. (English) Zbl 1210.33018 J. Approx. Theory 162, No. 11, 2048-2077 (2010). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 33C10 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{P. Román}, J. Approx. Theory 162, No. 11, 2048--2077 (2010; Zbl 1210.33018) Full Text: DOI arXiv
Delvaux, Steven; Kuijlaars, Arno B. J. A graph-based equilibrium problem for the limiting distribution of nonintersecting Brownian motions at low temperature. (English) Zbl 1220.82056 Constr. Approx. 32, No. 3, 467-512 (2010). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 82B41 35Q15 31C99 60B20 60J65 PDFBibTeX XMLCite \textit{S. Delvaux} and \textit{A. B. J. Kuijlaars}, Constr. Approx. 32, No. 3, 467--512 (2010; Zbl 1220.82056) Full Text: DOI arXiv
Kuijlaars, Arno B. J. Multiple orthogonal polynomial ensembles. (English) Zbl 1218.60005 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, 155-176 (2010). MSC: 60B20 60C05 31A15 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, Contemp. Math. 507, 155--176 (2010; Zbl 1218.60005) Full Text: arXiv
Kuijlaars, A. B. J.; Tibboel, P. M. J. The asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weights. (English) Zbl 1177.42021 J. Comput. Appl. Math. 233, No. 3, 775-785 (2009). Reviewer: Stefan G. Samko (Faro) MSC: 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{P. M. J. Tibboel}, J. Comput. Appl. Math. 233, No. 3, 775--785 (2009; Zbl 1177.42021) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F. Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. (English) Zbl 1188.60018 Commun. Math. Phys. 286, No. 1, 217-275 (2009). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G17 60G99 42C05 60J35 82B41 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Commun. Math. Phys. 286, No. 1, 217--275 (2009; Zbl 1188.60018) Full Text: DOI arXiv
Dai, D.; Kuijlaars, A. B. J. Painlevé IV asymptotics for orthogonal polynomials with respect to a modified Laguerre weight. (English) Zbl 1189.33014 Stud. Appl. Math. 122, No. 1, 29-83 (2009). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 33C45 34M55 PDFBibTeX XMLCite \textit{D. Dai} and \textit{A. B. J. Kuijlaars}, Stud. Appl. Math. 122, No. 1, 29--83 (2009; Zbl 1189.33014) Full Text: DOI arXiv
Duits, Maurice; Kuijlaars, Arno B. J. Universality in the two-matrix model: a Riemann-Hilbert steepest-descent analysis. (English) Zbl 1221.15052 Commun. Pure Appl. Math. 62, No. 8, 1076-1153 (2009). Reviewer: Martin Plešinger (Liberec) MSC: 15B52 15A18 42C05 60B20 PDFBibTeX XMLCite \textit{M. Duits} and \textit{A. B. J. Kuijlaars}, Commun. Pure Appl. Math. 62, No. 8, 1076--1153 (2009; Zbl 1221.15052) Full Text: DOI arXiv
Claeys, Tom; Kuijlaars, Arno B. J.; Vanlessen, Maarten Multi-critical unitary random matrix ensembles and the general Painlevé II equation. (English) Zbl 1179.15037 Ann. Math. (2) 168, No. 2, 601-641 (2008). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B52 31A25 35Q15 82B23 PDFBibTeX XMLCite \textit{T. Claeys} et al., Ann. Math. (2) 168, No. 2, 601--641 (2008; Zbl 1179.15037) Full Text: DOI arXiv
Daems, Evi; Kuijlaars, Arno B. J.; Veys, Willem Asymptotics of non-intersecting Brownian motions and a \(4\times 4\) Riemann-Hilbert problem. (English) Zbl 1149.60050 J. Approx. Theory 153, No. 2, 225-256 (2008). MSC: 60J65 PDFBibTeX XMLCite \textit{E. Daems} et al., J. Approx. Theory 153, No. 2, 225--256 (2008; Zbl 1149.60050) Full Text: DOI arXiv
Daems, E.; Kuijlaars, A. B. J. Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions. (English) Zbl 1135.42324 J. Approximation Theory 146, No. 1, 91-114 (2007). MSC: 42C05 60J65 30E25 82B41 41A60 33C45 35Q15 PDFBibTeX XMLCite \textit{E. Daems} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 146, No. 1, 91--114 (2007; Zbl 1135.42324) 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
Bleher, Pavel M.; Kuijlaars, Arno B. J. Integral representations for multiple Hermite and multiple Laguerre polynomials. (English) Zbl 1084.33008 Ann. Inst. Fourier 55, No. 6, 2001-2014 (2005). Reviewer: Roelof Koekoek (Delft) MSC: 33C50 33C45 42C05 15B52 PDFBibTeX XMLCite \textit{P. M. Bleher} and \textit{A. B. J. Kuijlaars}, Ann. Inst. Fourier 55, No. 6, 2001--2014 (2005; Zbl 1084.33008) Full Text: DOI arXiv Numdam Numdam EuDML
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R. Orthogonality of Jacobi polynomials with general parameters. (English) Zbl 1075.33005 ETNA, Electron. Trans. Numer. Anal. 19, 1-17 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 33F05 33C90 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., ETNA, Electron. Trans. Numer. Anal. 19, 1--17 (2005; Zbl 1075.33005) Full Text: arXiv EuDML EMIS
Kuijlaars, A. B. J.; McLaughlin, K. T.-R. A Riemann-Hilbert problem for biorthogonal polynomials. (English) Zbl 1096.42009 J. Comput. Appl. Math. 178, No. 1-2, 313-320 (2005). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C05 30E25 15B52 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{K. T. R. McLaughlin}, J. Comput. Appl. Math. 178, No. 1--2, 313--320 (2005; Zbl 1096.42009) Full Text: DOI arXiv
Bleher, Pavel; Kuijlaars, Arno B. J. Large \(n\) limit of Gaussian random matrices with external source. I. (English) Zbl 1124.82309 Commun. Math. Phys. 252, No. 1-3, 43-76 (2004). MSC: 82B41 15A42 42C05 60F99 PDFBibTeX XMLCite \textit{P. Bleher} and \textit{A. B. J. Kuijlaars}, Commun. Math. Phys. 252, No. 1--3, 43--76 (2004; Zbl 1124.82309) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A. Strong asymptotics for Jacobi polynomials with varying nonstandard parameters. (English) Zbl 1126.33003 J. Anal. Math. 94, 195-234 (2004). Reviewer: Yuliang Shen (Suzhou) MSC: 33C45 30C62 30F99 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{A. Martínez-Finkelshtein}, J. Anal. Math. 94, 195--234 (2004; Zbl 1126.33003) Full Text: DOI arXiv
Bleher, P. M.; Kuijlaars, A. B. J. Random matrices with external source and multiple orthogonal polynomials. (English) Zbl 1082.15035 Int. Math. Res. Not. 2004, No. 3, 109-129 (2004). Reviewer: Martín Argerami (Regina) MSC: 15B52 28C10 60B15 42C05 15A18 PDFBibTeX XMLCite \textit{P. M. Bleher} and \textit{A. B. J. Kuijlaars}, Int. Math. Res. Not. 2004, No. 3, 109--129 (2004; Zbl 1082.15035) Full Text: DOI arXiv
Daems, E.; Kuijlaars, A. B. J. A Christoffel–Darboux formula for multiple orthogonal polynomials. (English) Zbl 1063.42014 J. Approximation Theory 130, No. 2, 190-202 (2004). MSC: 42C05 PDFBibTeX XMLCite \textit{E. Daems} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 130, No. 2, 190--202 (2004; Zbl 1063.42014) Full Text: DOI arXiv
Kuijlaars, A. B. J.; McLaughlin, K. T.-R. Asymptotic zero behavior of Laguerre polynomials with negative parameter. (English) Zbl 1069.33008 Constructive Approximation 20, No. 4, 497-523 (2004). Reviewer: N. M. Temme (Amsterdam) MSC: 33C45 30E15 30E25 41A60 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{K. T. R. McLaughlin}, Constr. Approx. 20, No. 4, 497--523 (2004; Zbl 1069.33008) Full Text: DOI arXiv
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, A. B. J.; Vanlessen, M. Universality for eigenvalue correlations at the origin of the spectrum. (English) Zbl 1041.82007 Commun. Math. Phys. 243, No. 1, 163-191 (2003). MSC: 82B44 15B52 42C05 81Q10 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{M. Vanlessen}, Commun. Math. Phys. 243, No. 1, 163--191 (2003; Zbl 1041.82007) 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)
Beckermann, Bernhard; Kuijlaars, Arno B. J. Superlinear CG convergence for special right-hand sides. (English) Zbl 1024.65102 ETNA, Electron. Trans. Numer. Anal. 14, 1-19 (2002). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65N12 65F10 65E05 35J05 31A30 65N06 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{A. B. J. Kuijlaars}, ETNA, Electron. Trans. Numer. Anal. 14, 1--19 (2002; Zbl 1024.65102) Full Text: EuDML EMIS
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
Damelin, S. B.; Dragnev, P. D.; Kuijlaars, A. B. J. The support of the equilibrium measure for a class of external fields on a finite interval. (English) Zbl 1062.31002 Pac. J. Math. 199, No. 2, 303-320 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 31A15 42C05 PDFBibTeX XMLCite \textit{S. B. Damelin} et al., Pac. J. Math. 199, No. 2, 303--320 (2001; Zbl 1062.31002) Full Text: DOI Link
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.; Serra Capizzano, Stefano Asymptotic zero distribution of orthogonal polynomials with discontinuously varying recurrence coefficients. (English) Zbl 0990.42008 J. Approximation Theory 113, No. 1, 142-155 (2001). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{S. Serra Capizzano}, J. Approx. Theory 113, No. 1, 142--155 (2001; Zbl 0990.42008) 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)
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
Kuijlaars, A. B. J. On the finite-gap ansatz in the continuum limit of the Toda lattice. (English) Zbl 0966.37037 Duke Math. J. 104, No. 3, 433-462 (2000). Reviewer: Mircea Puta (Timişoara) MSC: 37K15 37K60 35Q53 35Q58 31A15 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, Duke Math. J. 104, No. 3, 433--462 (2000; Zbl 0966.37037) Full Text: DOI
Kuijlaars, A. B. J. Contracted zero distributions of extremal polynomials associated with slowly decaying weights. (English) Zbl 0959.31003 Constructive Approximation 16, No. 4, 559-587 (2000). Reviewer: S.J.Gardiner (Dublin) MSC: 31A15 33D45 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, Constr. Approx. 16, No. 4, 559--587 (2000; Zbl 0959.31003) Full Text: DOI
Kuijlaars, A. B. J.; McLaughlin, K. T.-R. Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields. (English) Zbl 1022.31001 Commun. Pure Appl. Math. 53, No. 6, 736-785 (2000). Reviewer: D.H.Armitage (Belfast) MSC: 31A15 37K10 42C05 82B10 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{K. T. R. McLaughlin}, Commun. Pure Appl. Math. 53, No. 6, 736--785 (2000; Zbl 1022.31001) Full Text: DOI
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
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
Damelin, S. B.; Kuijlaars, A. B. J. The support of the equilibrium measure in the presence of a monomial external field on \([-1,1]\). (English) Zbl 0943.31001 Trans. Am. Math. Soc. 351, No. 11, 4561-4584 (1999). Reviewer: D.H.Armitage (Belfast) MSC: 31A15 42C05 PDFBibTeX XMLCite \textit{S. B. Damelin} and \textit{A. B. J. Kuijlaars}, Trans. Am. Math. Soc. 351, No. 11, 4561--4584 (1999; Zbl 0943.31001) Full Text: DOI
Kuijlaars, A. B. J.; Rakhmanov, E. A. Zero distributions for discrete orthogonal polynomials. (English) Zbl 0929.33010 J. Comput. Appl. Math. 99, No. 1-2, 255-274 (1998); corrigendum ibid. 104, No. 2, 213 (1999). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{E. A. Rakhmanov}, J. Comput. Appl. Math. 99, No. 1--2, 255--274 (1999; Zbl 0929.33010) Full Text: DOI
Kuijlaars, A. B. J.; Van Assche, W. A contact problem in elasticity related to weighted polynomials on the real line. (English) Zbl 0910.42013 Proceedings of the 3rd international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 23–28, 1996. Vols. I and II. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 52, 575-587 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 31A15 74B05 41A10 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{W. Van Assche}, in: Proceedings of the 3rd international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 23--28, 1996. Vols. I and II. Palermo: Circolo Matemàtico di Palermo. 575--587 (1998; Zbl 0910.42013)
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