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! ASWFB: prolate and oblate spheroidal angular functions of the first kind.
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:
20 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, the spheroidal parameter.
Input, real ( kind = 8 ) X, the argument, with |X| < 1.0.
Input, integer ( kind = 4 ) KD, the function code.
1, the prolate function.
-1, the oblate function.
Input, real ( kind = 8 ) CV, the characteristic value.
Output, real ( kind = 8 ) S1F, S1D, the angular function of the first
kind and its derivative.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | m | ||||
| integer(kind=4) | :: | n | ||||
| real(kind=8) | :: | c | ||||
| real(kind=8) | :: | x | ||||
| integer(kind=4) | :: | kd | ||||
| real(kind=8) | :: | cv | ||||
| real(kind=8) | :: | s1f | ||||
| real(kind=8) | :: | s1d |