The Painlevé Equations and Orthogonal Polynomials

Electronic Notes in Discrete Mathematics ◽

10.1016/j.endm.2013.07.042 ◽

2013 ◽

Vol 43 ◽

pp. 255-262 ◽

Author(s):

Galina Filipuk

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Painleve 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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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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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 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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Non-Commutative Painlevé Equations and Hermite-Type Matrix Orthogonal Polynomials

Communications in Mathematical Physics ◽

10.1007/s00220-013-1853-4 ◽

2013 ◽

Vol 326 (2) ◽

pp. 559-583 ◽

Author(s):

Mattia Cafasso ◽

Manuel D. de la Iglesia

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Painleve Equations ◽

Matrix Orthogonal Polynomials

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Orthogonal Polynomials and Painlevé Equations

10.1017/9781108644860 ◽

2017 ◽

Author(s):

Walter Van Assche

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Painleve Equations

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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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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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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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