New method to obtain small parameter power series expansions of Mathieu radial and angular functions

DOI10.1090/S0025-5718-08-02114-5zbMath1204.33024MaRDI QIDQ3055093

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Publication date: 7 November 2010

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

Mathematics Subject Classification ID

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

Uses Software

• IMSL Numerical Libraries
• Algorithm 861
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Cites Work

• Numerical aspects of Mathieu eigenvalues
• Power series expansions for Mathieu functions with small arguments
• Algorithm 861
• XXII.—Tables of the Elliptic-cylinder Functions
• The computation of eigenvalues and solutions of Mathieu's differential equation for noninteger order
• Algorithm 721: MTIEU1 and MTIEU2
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