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! CH12N computes Hankel functions of first and second kinds, complex argument.
Discussion:
Both the Hankel functions and their derivatives are computed.
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:
26 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 of the functions.
Input, complex ( kind = 8 ) Z, the argument.
Output, integer ( kind = 4 ) NM, the highest order computed.
Output, complex ( kind = 8 ) CHF1(0:n), CHD1(0:n), CHF2(0:n), CHD2(0:n),
the values of Hn(1)(z), Hn(1)'(z), Hn(2)(z), Hn(2)'(z).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | n | ||||
| complex(kind=8) | :: | z | ||||
| integer(kind=4) | :: | nm | ||||
| complex(kind=8) | :: | chf1(0:n) | ||||
| complex(kind=8) | :: | chd1(0:n) | ||||
| complex(kind=8) | :: | chf2(0:n) | ||||
| complex(kind=8) | :: | chd2(0:n) |