On the Numerical Construction of Ellipsoidal Wave Functions

DOI10.2307/2007381zbMath0538.65007OpenAlexW4240699340MaRDI QIDQ3324910

R. V. M. Zahar, F. M. Arscott, Peter J. Taylor

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2007381

zbMATH Keywords

confluentirregular singularityregular singularitiesellipsoidal wave equationLamé wave equationfour-term recursionHelmholtz equation in ellipsoidal coordinates

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (5)

Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems ⋮ On the numerical solution of two point discrete boundary value problems ⋮ Liouvillian solutions of Whittaker-Ince equation ⋮ Multidimensional Lamé wave functions ⋮ Numerical implementation of the ellipsoidal wave equation and application to ellipsoidal quantum dots

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