rmn2l Subroutine

public subroutine rmn2l(m, n, c, x, df, kd, r2f, r2d, id)

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

! 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.

Arguments

Type IntentOptional 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

Calls

proc~~rmn2l~~CallsGraph proc~rmn2l rmn2l proc~sphy sphy proc~rmn2l->proc~sphy

Called by

proc~~rmn2l~~CalledByGraph proc~rmn2l rmn2l proc~rswfo rswfo proc~rswfo->proc~rmn2l proc~rswfp rswfp proc~rswfp->proc~rmn2l