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! MTU0 computes Mathieu functions CEM(x,q) and SEM(x,q) and 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:
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 ) KF, the function code.
1 for computing cem(x,q) and cem'(x,q)
2 for computing sem(x,q) and sem'(x,q).
Input, integer ( kind = 4 ) M, the order of the Mathieu functions.
Input, real ( kind = 8 ) Q, the parameter of the Mathieu functions.
Input, real ( kind = 8 ) X, the argument of the Mathieu functions,
in degrees.
Output, real ( kind = 8 ) CSF, CSD, the values of cem(x,q) and cem'(x,q),
or of sem(x,q) and sem'(x,q).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | kf | ||||
| integer(kind=4) | :: | m | ||||
| real(kind=8) | :: | q | ||||
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | csf | ||||
| real(kind=8) | :: | csd |