Matrix hypergeometric functions, semi-classical orthogonal polynomials and quantum Painlevé equations

DOI10.1080/10652469.2020.1833878zbMath1489.33011OpenAlexW3177239223MaRDI QIDQ5154030

Kouki Inamasu, Hironobu Kimura

Publication date: 1 October 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2020.1833878

zbMATH Keywords

Painlevé equationssemi-classical orthogonal polynomialsquantum Painlevé equationsspecial function of matrix arguments

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Other hypergeometric functions and integrals in several variables (33C70)

Related Items (1)

On matrix Painlevé-4 equations

Cites Work

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• The relationship between semiclassical Laguerre polynomials and the fourth Painlevé equation
• Fermionic construction of tau functions and random processes
• Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations
• The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
• Multivariate hypergeometric cascades, isomonodromy problems and Ward ansätze
• Relation of Semi-Classical Orthogonal Polynomials to General Schlesinger Systems via Twistor Theory
• Painlevé VI and Hankel determinants for the generalized Jacobi weight
• Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument
• Painlevé V and time-dependent Jacobi polynomials

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