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! CLPN computes Legendre functions and derivatives for complex argument.
Discussion:
Compute Legendre polynomials Pn(z) and their derivatives Pn'(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:
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 ) N, the degree.
Input, real ( kind = 8 ) X, Y, the real and imaginary parts
of the argument.
Output, complex ( kind = 8 ) CPN(0:N), CPD(0:N), the values of Pn(z)
and Pn'(z).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | n | ||||
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | y | ||||
| complex(kind=8) | :: | cpn(0:n) | ||||
| complex(kind=8) | :: | cpd(0:n) |