Uniform asymptotic approximation of Mathieu functions

DOI10.4310/MAA.1994.v1.n2.a2zbMath0835.33014OpenAlexW13073111MaRDI QIDQ1902352

T. M. Dunster

Publication date: 8 April 1996

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1994.v1.n2.a2

zbMATH Keywords

Mathieu's equationturning point theoryasymptotic approximationsMathieu functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (2)

Approximation of Mathieu functions by parabolic cylinder functions ⋮ Spectral singularity in confined ${\cal {PT}}$PT symmetric optical potential

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