The Eigenvalues of the Angular Spheroidal Wave Equation

DOI10.1002/sapm1982663217zbMath0489.34018OpenAlexW2577909104MaRDI QIDQ3950839

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Publication date: 1982

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1982663217

zbMATH Keywords

eigenvaluesbranch pointsphase integralWKBJ methodsangular spheroidal wave equation

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Lamé, Mathieu, and spheroidal wave functions (33E10) Ordinary differential operators (34L99)

Related Items

Spectral properties of the scaled quartic anharmonic oscillator, Exact and avoided crossings of adiabatic hyperspherical potential curves, Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics, New Characterizations for the Eigenvalues of the Prolate Spheroidal Wave Equation, On the Asymptotic Expansion of the Spheroidal Wave Function and Its Eigenvalues for Complex Size Parameter, Analytical solutions to the generalized spheroidal wave equation and the Green’s function of one-electron diatomic molecules

Cites Work

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• The Eigenvalues of Mathieu's Equation and their Branch Points
• GLOBAL PHASE-INTEGRAL METHODS
• General connection formulae for Liouville-Green approximations in the complex plane