Computation of generalised spheroidal eigenfunctions and eigenvalues
- 21 September 1989
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (18) , 4089-4097
- https://doi.org/10.1088/0305-4470/22/18/040
Abstract
Methods of solving the equation for generalised spheroidal eigenfunctions and eigenvalues are considered. An efficient variational method with Jacobi basis functions is worked out. Simple recurrence formulae are derived for analytical calculations of all matrix elements required to solve the variational problem. A fast algorithm for computing generalised spheroidal eigenvalues is proposed.Keywords
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