Asymptotics of prolate spheroidal wave functions
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Publication:4627841
DOI10.7153/jca-11-01zbMath1424.33035arXiv1601.00699OpenAlexW2230795138MaRDI QIDQ4627841
Publication date: 5 March 2019
Published in: Journal of Classical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.00699
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Lamé, Mathieu, and spheroidal wave functions (33E10)
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- Mathieu functions and spheroidal functions and their mathematical foundations. Further studies
- Absolute and uniform convergence of alternate forms of the prolate spheroidal radial wave functions
- High-frequency asymptotic expansions for certain prolate spheroidal wave functions
- Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms
- A numerical study of the Legendre-Galerkin method for the evaluation of the prolate spheroidal wave functions
- A new friendly method of computing prolate spheroidal wave functions and wavelets
- Simplified Asymptotic Solutions of Differential Equations Having Two Turning Points, with an Application to Legendre Functions
- Periodic Prolate Spheroidal Wavelets
- On the Asymptotic Expansion of the Spheroidal Wave Function and Its Eigenvalues for Complex Size Parameter
- Some comments on Fourier analysis, uncertainty and modeling
- Uniform Asymptotic Solutions of a Class of Second-Order Linear Differential Equations Having a Turning Point and a Regular Singularity, with an Application to Legendre Functions
- A closed form solution of the s-wave Bethe–Goldstone equation with an infinite repulsive core
- Uniform Asymptotic Expansions for Prolate Spheroidal Functions with Large Parameters
- Second-order linear differential equations with two turning points
- Asymptotic Approximations for Prolate Spheroidal Wave Functions
- Uniform Asymptotic Expansions for Prolate Spheroidal Wave Functions
- Spheroidal Eigenfunctions of the Tidal Equation
- Some Asymptotic Expansions for Prolate Spheroidal Wave Functions
- INTEGRAL REPRESENTATIONS ASSOCIATED WITH HIGH-FREQUENCY NON-SYMMETRIC SCATTERING BY PROLATE SPHEROIDS
- Some Asymptotic Expressions for Prolate Spheroidal Functions and for the Eigenvalues of Differential and Integral Equations of Which They Are Solutions
- Asymptotic Expansions of Prolate Spheriodial Wave Functions and their Characteristic Numbers.
- On Spheroidal Wave Functions of Order Zero
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