Asymptotics of the Wilson polynomials

DOI10.1142/S0219530519500076zbMath1435.33010OpenAlexW2945890975MaRDI QIDQ5220073

Xiang-Sheng Wang, Yutian Li, Roderick Wong

Publication date: 10 March 2020

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

Full work available at URL: https://doi.org/10.1142/s0219530519500076

zbMATH Keywords

zerosuniform asymptoticsthree-term recurrence relationstransition pointWilson polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Linear difference equations (39A06)

Related Items (3)

Recent advances in asymptotic analysis ⋮ The asymptotics of the geometric polynomials ⋮ Asymptotic approximations of the continuous Hahn polynomials and their zeros

Uses Software

• DLMF

Cites Work

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• A Note on Wilson Polynomials
• Some Hypergeometric Orthogonal Polynomials
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• Linear difference equations with transition points
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• Asymptotics of linear recurrences
• Wilson polynomials and the generic superintegrable system on the 2-sphere
• An asymptotic formula for solutions of linear second-order difference equations with regularly behaving coefficients
• WKB methods for difference equations I

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