Asymptotic Approximations for Prolate Spheroidal Wave Functions

DOI10.1002/sapm1975544315zbMath0327.33006OpenAlexW2462939256MaRDI QIDQ4092277

J. W. Miles

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1002/sapm1975544315

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Lamé, Mathieu, and spheroidal wave functions (33E10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms, Measuring characteristic length scales of eigenfunctions of Sturm-Liouville equations in one and two dimensions, The nonconvergence of \(h\)-refinement in prolate elements, Large mode number eigenvalues of the prolate spheroidal differential equation., On the Asymptotic Expansion of the Spheroidal Wave Function and Its Eigenvalues for Complex Size Parameter, Asymptotics of prolate spheroidal wave functions, Uniform approximation and explicit estimates for the prolate spheroidal wave functions

Cites Work

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• Uniform Asymptotic Expansions for Prolate Spheroidal Wave Functions
• Some Asymptotic Expansions for Prolate Spheroidal Wave Functions
• Calculation of Spheroidal Wave Functions
• Some Asymptotic Expressions for Prolate Spheroidal Functions and for the Eigenvalues of Differential and Integral Equations of Which They Are Solutions