Differential and difference equations for recurrence coefficients of orthogonal polynomials with hypergeometric weights and Bäcklund transformations of the sixth Painlevé equation

DOI10.1142/S2010326321500295zbMath1498.33011OpenAlexW3048100086WikidataQ115244488 ScholiaQ115244488MaRDI QIDQ5019005

Jie Hu, Yang Chen, Galina Filipuk

Publication date: 27 December 2021

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s2010326321500295

zbMATH Keywords

Bäcklund transformationsdiscrete orthogonal polynomialsPainlevé VIhypergeometric weights

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other special orthogonal polynomials and functions (33C47) Difference equations (39A99)

Related Items (2)

Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach ⋮ Multiple scale asymptotics of map enumeration

Cites Work

• Recurrence coefficients of a new generalization of the Meixner polynomials
• Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
• Rational surfaces associated with affine root systems and geometry of the Painlevé equations
• Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI
• Painlevé differential equations in the complex plane
• Difference equations and discriminants for discrete orthogonal polynomials
• The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
• Geometric aspects of Painlevé equations
• Ladder operators and differential equations for orthogonal polynomials
• Orthogonal Polynomials and Painlevé Equations
• Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation
• Orthogonal polynomials, asymptotics, and Heun equations
• Moyal Deformation of 2D Euler Equation and Discretization
• Random matrix models, double-time Painlevé equations, and wireless relaying
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