A generalized sextic Freud weight

DOI10.1080/10652469.2020.1798949zbMath1483.33005arXiv2004.00260OpenAlexW3177062431MaRDI QIDQ5154025

Peter A. Clarkson, Kerstin Jordaan

Publication date: 1 October 2021

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

Full work available at URL: https://arxiv.org/abs/2004.00260

zbMATH Keywords

Painlevé equationdiscrete Painlevé equationgeneralized hypergeometric functionssemi-classical orthogonal polynomialsrecurrence coefficientsgeneralized sextic Freud weight

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Generalized hypergeometric series, ({}_pF_q) (33C20) Other special orthogonal polynomials and functions (33C47)

Related Items (4)

Semi-classical orthogonal polynomials associated with a modified Gaussian weight ⋮ Semi-classical Jacobi polynomials, Hankel determinants and asymptotics ⋮ On certain properties of perturbed Freud-type weight: a revisit ⋮ A note on the asymptotics of the Hankel determinant associated with time-dependent Jacobi polynomials

Uses Software

• DLMF

Cites Work

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