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! RSWFO computes prolate spheroidal radial function of first and second kinds.
Discussion:
This procedure computes oblate radial functions of the first
and second kinds, and their derivatives.
Licensing:
This routine is copyrighted by Shanjie Zhang and Jianming Jin. However,
they give permission to incorporate this routine into a user program
provided that the copyright is acknowledged.
Modified:
07 July 2012
Author:
Shanjie Zhang, Jianming Jin
Reference:
Shanjie Zhang, Jianming Jin,
Computation of Special Functions,
Wiley, 1996,
ISBN: 0-471-11963-6,
LC: QA351.C45.
Parameters:
Input, integer ( kind = 4 ) M, the mode parameter; M = 0, 1, 2, ...
Input, integer ( kind = 4 ) N, mode parameter, N = M, M + 1, M + 2, ...
Input, real ( kind = 8 ) C, spheroidal parameter.
Input, real ( kind = 8 ) X, the argument.
Input, real ( kind = 8 ) CV, the characteristic value.
Input, integer ( kind = 4 ) KF, the function code.
1, for the first kind
2, for the second kind
3, for both the first and second kinds.
Output, real ( kind = 8 ) R1F, the radial function of the first kind;
Output, real ( kind = 8 ) R1D, the derivative of the radial function of
the first kind;
Output, real ( kind = 8 ) R2F, the radial function of the second kind;
Output, real ( kind = 8 ) R2D, the derivative of the radial function of
the second kind;
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | m | ||||
| integer(kind=4) | :: | n | ||||
| real(kind=8) | :: | c | ||||
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | cv | ||||
| integer(kind=4) | :: | kf | ||||
| real(kind=8) | :: | r1f | ||||
| real(kind=8) | :: | r1d | ||||
| real(kind=8) | :: | r2f | ||||
| real(kind=8) | :: | r2d |