Orthogonal Polynomials and Painlevé Equations

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 ◽

Cited By ~ 3

Author(s):

Philippe Biane

Keyword(s):

Orthogonal Polynomials ◽

Unit Circle ◽

Painlevé Equations ◽

Painleve Equations ◽

Discrete Painlevé Equations

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The Painlevé Equations and Orthogonal Polynomials

Electronic Notes in Discrete Mathematics ◽

10.1016/j.endm.2013.07.042 ◽

2013 ◽

Vol 43 ◽

pp. 255-262 ◽

Cited By ~ 1

Author(s):

Galina Filipuk

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Painleve 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 ◽

Cited By ~ 12

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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 4

Author(s):

Mattia Cafasso ◽

Manuel D. de la Iglesia

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Painleve Equations ◽

Matrix Orthogonal Polynomials

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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 ◽

Cited By ~ 7

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 ◽

Cited By ~ 28

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 ◽

Cited By ~ 24

Author(s):

Alphonse P. Magnus

Keyword(s):

Orthogonal Polynomials ◽

Painlevé Equations ◽

Painleve Equations ◽

Discrete Painlevé Equations

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Orthogonal Polynomials and Painlevé Equations

Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations

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

The Painlevé Equations and Orthogonal Polynomials

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

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

Discrete Painlevé Equations and Orthogonal Polynomials

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

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

Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials

Freud's equations for orthogonal polynomials as discrete Painlevé equations

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