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! LPMV computes associated Legendre functions Pmv(X) with arbitrary degree.
Discussion:
Compute the associated Legendre function Pmv(x) with an integer order
and an arbitrary nonnegative degree v.
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:
19 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, real ( kind = 8 ) V, the degree of Pmv(x).
Input, integer ( kind = 4 ) M, the order of Pmv(x).
Input, real ( kind = 8 ) X, the argument of Pm(x).
Output, real ( kind = 8 ) PMV, the value of Pm(x).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=8) | :: | v | ||||
| integer(kind=4) | :: | m | ||||
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | pmv |