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! CIKLV: modified Bessel functions Iv(z), Kv(z), complex argument, large order.
Discussion:
This procedure computes modified Bessel functions Iv(z) and
Kv(z) and their derivatives with a complex argument and a large order.
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:
31 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, real ( kind = 8 ) V, the order of Iv(z) and Kv(z).
Input, complex ( kind = 8 ) Z, the argument.
Output, real ( kind = 8 ) CBIV, CDIV, CBKV, CDKV, the values of
Iv(z), Iv'(z), Kv(z), Kv'(z).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=8) | :: | v | ||||
| complex(kind=8) | :: | z | ||||
| complex(kind=8) | :: | cbiv | ||||
| complex(kind=8) | :: | cdiv | ||||
| complex(kind=8) | :: | cbkv | ||||
| complex(kind=8) | :: | cdkv |