Generalized Gauss-Rys orthogonal polynomials

DOI10.1016/J.JMAA.2024.128695zbMATH Open1548.33007MaRDI QIDQ6612233

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Publication date: 30 September 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

zerosPainlevé equationsladder operatorsLaguerre-Freud equationsPearson equationgeneralized Gauss-Rys orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Discrete version of topics in analysis (39A12) Real polynomials: location of zeros (26C10) Other special orthogonal polynomials and functions (33C47) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65) Completely integrable discrete dynamical systems (37J70)

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