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! LPMNS computes associated Legendre functions Pmn(X) and derivatives P'mn(x).
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:
18 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 order of Pmn(x).
Input, integer ( kind = 4 ) N, the degree of Pmn(x).
Input, real ( kind = 8 ) X, the argument.
Output, real ( kind = 8 ) PM(0:N), PD(0:N), the values and derivatives
of the function from degree 0 to N.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | m | ||||
| integer(kind=4) | :: | n | ||||
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | pm(0:n) | ||||
| real(kind=8) | :: | pd(0:n) |