Asymptotics for the \({}_ 4F_ 3\) polynomials

DOI10.1016/0021-9045(91)90056-GzbMath0729.33006MaRDI QIDQ805826

James A. Wilson

Publication date: 1991

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

asymptoticsequiconvergence theoremWilson polynomials

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Series solutions of Laguerre- and Jacobi-type differential equations in terms of orthogonal polynomials and physical applications, Wilson-Racah quantum system, Simplifying large spin bootstrap in Mellin space, Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals, Multiple Wilson and Jacobi--Piñeiro polynomials, Asymptotics of the Wilson polynomials, Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters, Quantum mechanics without potential function, Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials, Orthogonal polynomials derived from the tridiagonal representation approach

Cites Work

• Asymptotic and generating relations for the q-Jacobi and //\(4Phi_ 3\) polynomials
• Two Families of Associated Wilson Polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Asymptotics of the Askey–Wilson and q-Jacobi Polynomials
• Some Hypergeometric Orthogonal Polynomials
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