Power series expansions for Mathieu functions with small arguments

DOI10.1090/S0025-5718-00-01227-8zbMath0994.33011MaRDI QIDQ2719075

John A. Roumeliotis, Gerassimos C. Kokkorakis

Publication date: 14 May 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

expansion coefficientsradial Mathieu functionsangular Mathieu functions

Mathematics Subject Classification ID

Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (2)

New method to obtain small parameter power series expansions of Mathieu radial and angular functions ⋮ Power series expansions for spheroidal wave functions with small arguments

Uses Software

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Cites Work

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• The group numerical analysis: On the computation of Mathieu functions
• Electromagnetic Eigenfrequencies in a Spheroidal Cavity
• The computation of eigenvalues and solutions of Mathieu's differential equation for noninteger order
• Algorithm 721: MTIEU1 and MTIEU2
• Computation of the value of the even and odd Mathieu functions of order N for a given parameter S and an argument X [Computer program description]
• A Complete Method for the Computations of Mathieu Characteristic Numbers of Integer Orders
• Anecdote on Power Series Expansions of Mathieu Functions
• Power Series Expansions of Mathieu Functions with Tables of Numerical Results

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