A code to evaluate prolate and oblate spheroidal harmonics

Abstract
We present a code to evaluate prolate (P^m
_n (x), Q^m
_n(x); n ≥ m, x > 1) and oblate (P^m
_n (ix), Q^m
_n(ix); n ≥ m, x > 0) spheroidal harmonics, that is, spherical harmonics (n and m integers) for real arguments larger than one and for purely imaginary arguments. We start from the known values (in closed form) of P^m
_(m+1)and P^m
...

Title of program: DPROH, DOBLH
Catalogue Id: ADHD_v1_0

Nature of problem
We include two codes in order to evaluate: <ol> <li> Prolate spheroidal harmonics (subroutine DPROH) <li> Oblate spheroidal harmonics (subroutine DOBLH) </ol> The two codes evaluate spheroidal harmonics of the first and second kinds for a given order m, from the lowest (positive) degree (n = m) to a maximum degree n = m + NMAX in the same run. The algorithms find their application in problems with prolate and oblate spheroidal geometries respectively. We show as an example the application of the ...

Versions of this program held in the CPC repository in Mendeley Data
ADHD_v1_0; DPROH, DOBLH; 10.1016/S0010-4655(97)00126-4

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)