Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions

DOI10.1137/19M1262498zbMath1434.41027arXiv1905.07204OpenAlexW3004003708MaRDI QIDQ5213174

Adri B. Olde Daalhuis, Gergő Nemes

Publication date: 31 January 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07204

zbMATH Keywords

error boundsasymptotic expansionsLegendre functionshypergeometric functionFerrers functionsGegenbauer function

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) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Uses Software

• DLMF

Cites Work

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• Uniform asymptotic expansions for associated Legendre functions of large order
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