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! CLPMN: associated Legendre functions and derivatives for complex argument.
Discussion:
Compute the associated Legendre functions Pmn(z)
and their derivatives Pmn'(z) for a complex 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:
01 August 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 ) MM, the physical dimension of CPM and CPD.
Input, integer ( kind = 4 ) M, N, the order and degree of Pmn(z).
Input, real ( kind = 8 ) X, Y, the real and imaginary parts of
the argument Z.
Output, complex ( kind = 8 ) CPM(0:MM,0:N), CPD(0:MM,0:N), the values of
Pmn(z) and Pmn'(z).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | mm | ||||
| integer(kind=4) | :: | m | ||||
| integer(kind=4) | :: | n | ||||
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | y | ||||
| complex(kind=8) | :: | cpm(0:mm,0:n) | ||||
| complex(kind=8) | :: | cpd(0:mm,0:n) |