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! CIKNA: modified Bessel functions In(z), Kn(z), derivatives, complex argument.
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:
30 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 In(z) and Kn(z).
Input, complex ( kind = 8 ) Z, the argument.
Output, integer ( kind = 4 ) NM, the highest order computed.
Output, complex ( kind = 8 ) CBI((0:N), CDI(0:N), CBK(0:N), CDK(0:N),
the values of In(z), In'(z), Kn(z), Kn'(z).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| integer(kind=4) | :: | n | ||||
| complex(kind=8) | :: | z | ||||
| integer(kind=4) | :: | nm | ||||
| complex(kind=8) | :: | cbi(0:n) | ||||
| complex(kind=8) | :: | cdi(0:n) | ||||
| complex(kind=8) | :: | cbk(0:n) | ||||
| complex(kind=8) | :: | cdk(0:n) |