Uniform asymptotic expansions for oblate spheroidal functions I: positive separation parameter λ

DOI10.1017/S0308210500027931zbMath0781.33010OpenAlexW4232075047MaRDI QIDQ4030483

T. M. Dunster

Publication date: 1 April 1993

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/s0308210500027931

zbMATH Keywords

Bessel functionsAiry functionsoblate spheroidal functions

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Other wave functions (33E15)

Related Items (1)

Uniform asymptotic expansions for oblate spheroidal functions II: negative separation parameter λ

Cites Work

• The oblate spheroidal wave functions
• Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions
• The eigenvalues of the simplified ideal MHD ballooning equation
• Uniform Asymptotic Expansions for Prolate Spheroidal Functions with Large Parameters
• INTEGRAL REPRESENTATIONS ASSOCIATED WITH HIGH-FREQUENCY NON-SYMMETRIC SCATTERING BY PROLATE SPHEROIDS

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