gmn Subroutine

public subroutine gmn(m, n, c, x, bk, gf, gd)

************80

! GMN computes quantities for oblate radial functions with small argument.

Discussion:

This procedure computes Gmn(-ic,ix) and its derivative for oblate
radial functions with a small argument.

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:

15 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 ) BK(*), coefficients.

Output, real ( kind = 8 ) GF, GD, the value of Gmn(-C,X) and Gmn'(-C,X).

Arguments

Type IntentOptional Attributes Name
integer(kind=4) :: m
integer(kind=4) :: n
real(kind=8) :: c
real(kind=8) :: x
real(kind=8) :: bk(200)
real(kind=8) :: gf
real(kind=8) :: gd

Called by

proc~~gmn~~CalledByGraph proc~gmn gmn proc~rmn2so rmn2so proc~rmn2so->proc~gmn proc~rswfo rswfo proc~rswfo->proc~rmn2so