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! LQMN computes associated Legendre functions Qmn(x) and derivatives.
Discussion:
This routine computes the associated Legendre functions of the
second kind, Qmn(x) and Qmn'(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:
13 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 ) MM, determines the leading dimension
of QM and QD.
Input, integer ( kind = 4 ) M, the order of Qmn(x).
Input, integer ( kind = 4 ) N, the degree of Qmn(x).
Output, real ( kind = 8 ) QM(0:MM,0:N), QD(0:MM,0:N), contains the values
of Qmn(x) and Qmn'(x).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | mm | ||||
| integer(kind=4) | :: | m | ||||
| integer(kind=4) | :: | n | ||||
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | qm(0:mm,0:n) | ||||
| real(kind=8) | :: | qd(0:mm,0:n) |