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! RMN2L: prolate and oblate spheroidal functions, second kind, large CX.
Discussion:
This procedure computes prolate and oblate spheroidal radial functions
of the second kind for given m, n, c and a large cx.
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:
30 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 ) DF(*), the expansion coefficients.
Input, integer ( kind = 4 ) KD, the function code.
1, the prolate function.
-1, the oblate function.
Output, real ( kind = 8 ) R2F, R2D, the function and derivative values.
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
integer(kind=4) | :: | m | ||||
integer(kind=4) | :: | n | ||||
real(kind=8) | :: | c | ||||
real(kind=8) | :: | x | ||||
real(kind=8) | :: | df(200) | ||||
integer(kind=4) | :: | kd | ||||
real(kind=8) | :: | r2f | ||||
real(kind=8) | :: | r2d | ||||
integer(kind=4) | :: | id |