New Investigation on the Spheroidal Wave Equations

Abstract

Changing the spheroidal wave equations into new Schro$dinge{r}^{\prime }sform,thesuper-potentialexpandedintheseriesformoftheparameter$α$are obtained in the paper. This general form of the super-potential makes it easy to get the ground eigenfunctions of the spheroidal equations. But the shape-invariance property is not retained and the corresponding recurrence relations of the form (4) could not be extended from the associated Legendre functions to the case of the spheroidal functions.

Cited by in corpus (1)

• A naive procedure for computing angular spheroidal functions