Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one

Integral Transforms and Special Functions ◽

10.1080/10652469.2016.1160903 ◽

2016 ◽

Vol 27 (7) ◽

pp. 548-565 ◽

Author(s):

G. Filipuk ◽

M. N. Rebocho

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Recurrence Coefficients ◽

Painleve Equations ◽

Discrete Painlevé Equations

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q-Discrete Painlevé equations for recurrence coefficients of modifiedq-Freud orthogonal polynomials

The Journal of Difference Equations and Applications ◽

10.1080/10236190802392435 ◽

2010 ◽

Vol 16 (1) ◽

pp. 37-53 ◽

Author(s):

Lies Boelen ◽

Christophe Smet ◽

Walter Van Assche

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Recurrence Coefficients ◽

Painleve Equations ◽

Discrete Painlevé Equations

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Recurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlevé equations

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/abbd54 ◽

2020 ◽

Vol 53 (49) ◽

pp. 495201

Author(s):

Anton Dzhamay ◽

Galina Filipuk ◽

Alexander Stokes

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Recurrence Coefficients ◽

Painleve Equations ◽

Discrete Orthogonal Polynomials ◽

Discrete Painlevé Equations ◽

Discrete Orthogonal

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Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials

Difference Equations, Special Functions and Orthogonal Polynomials ◽

10.1142/9789812770752_0058 ◽

2007 ◽

Author(s):

Walter VAN ASSCHE

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Recurrence Coefficients ◽

Painleve Equations ◽

Discrete Painlevé Equations

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Orthogonal Polynomials on the Unit Circle, q-Gamma weights, and Discrete Painlevé Equations

Moscow Mathematical Journal ◽

10.17323/1609-4514-2014-14-1-1-27 ◽

2014 ◽

Vol 14 (1) ◽

pp. 1-27 ◽

Author(s):

Philippe Biane

Keyword(s):

Orthogonal Polynomials ◽

Unit Circle ◽

Painlevé Equations ◽

Painleve Equations ◽

Discrete Painlevé Equations

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Discrete Painlevé Equations and Orthogonal Polynomials

Symmetries and Integrability of Difference Equations ◽

10.1017/cbo9780511997136.007 ◽

2011 ◽

pp. 139-159 ◽

Author(s):

Alexander Its

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Painleve Equations ◽

Discrete Painlevé Equations

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Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-09-10152-1 ◽

2010 ◽

Vol 138 (04) ◽

pp. 1317-1317 ◽

Author(s):

Lies Boelen ◽

Walter Van Assche

Keyword(s):

Laguerre Polynomials ◽

Painlevé Equations ◽

Recurrence Coefficients ◽

Painleve Equations ◽

Discrete Painlevé Equations

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Freud's equations for orthogonal polynomials as discrete Painlevé equations

Symmetries and Integrability of Difference Equations ◽

10.1017/cbo9780511569432.019 ◽

1999 ◽

pp. 228-244 ◽

Author(s):

Alphonse P. Magnus

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Painleve Equations ◽

Discrete Painlevé Equations

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Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations

Orthogonal Polynomials - Tutorials, Schools, and Workshops in the Mathematical Sciences ◽

10.1007/978-3-030-36744-2_15 ◽

2020 ◽

pp. 335-386

Author(s):

David Gómez-Ullate ◽

Robert Milson

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Rational Solutions ◽

Painleve Equations ◽

Exceptional Orthogonal Polynomials

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On Some Applications of Sakai's Geometric Theory of Discrete Painlevé Equations

Symmetry Integrability and Geometry Methods and Applications ◽

10.3842/sigma.2018.075 ◽

2018 ◽

Author(s):

Anton Dzhamay ◽

◽

Tomoyuki Takenawa ◽

Keyword(s):

Geometric Theory ◽

Painlevé Equations ◽

Painleve Equations ◽

Discrete Painlevé Equations

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Difference isomonodromy problems and discrete Painlevé equations

SIDE III—Symmetries and Integrability of Difference Equations - CRM Proceedings and Lecture Notes ◽

10.1090/crmp/025/33 ◽

2000 ◽

pp. 347-352

Author(s):

Vassilios Papageorgiou

Keyword(s):

Painlevé Equations ◽

Painleve Equations ◽

Discrete Painlevé Equations

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