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! SPHK computes modified spherical Bessel functions kn(x) and derivatives.
Discussion:
This procedure computes modified spherical Bessel functions
of the second kind, kn(x) and kn'(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:
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 order.
Input, real ( kind = 8 ) X, the argument.
Output, integer ( kind = 4 ) NM, the highest order computed.
Output, real ( kind = 8 ) SK(0:N), DK(0:N), the values of kn(x) and kn'(x).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | n | ||||
| real(kind=8) | :: | x | ||||
| integer(kind=4) | :: | nm | ||||
| real(kind=8) | :: | sk(0:n) | ||||
| real(kind=8) | :: | dk(0:n) |