Uniform asymptotic expansions for associated Legendre functions of large order

DOI10.1017/S0308210500002687zbMath1055.33008OpenAlexW2095642260MaRDI QIDQ4462186

T. M. Dunster

Publication date: 18 May 2004

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500002687

zbMATH Keywords

asymptotic expansionmodified Bessel functionsWKB methodassociated Legendre functionFerrer's functionLiouville-Green type expansion

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)

Related Items (3)

On the nonoscillatory phase function for Legendre's differential equation ⋮ Convergent Expansions for Solutions of Linear Ordinary Differential Equations Having a Simple Pole, with an Application to Associated Legendre Functions ⋮ Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions

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