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! CIKVA: modified Bessel functions Iv(z), Kv(z), arbitrary order, complex.
Discussion:
Compute the modified Bessel functions Iv(z), Kv(z)
and their derivatives for an arbitrary order and
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:
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 the functions.
Input, complex ( kind = 8 ) Z, the argument.
Output, real ( kind = 8 ) VM, the highest order computed.
Output, real ( kind = 8 ) CBI(0:N), CDI(0:N), CBK(0:N), CDK(0:N),
the values of In+v0(z), In+v0'(z), Kn+v0(z), Kn+v0'(z).
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
real(kind=8) | :: | v | ||||
complex(kind=8) | :: | z | ||||
real(kind=8) | :: | vm | ||||
complex(kind=8) | :: | cbi(0:*) | ||||
complex(kind=8) | :: | cdi(0:*) | ||||
complex(kind=8) | :: | cbk(0:*) | ||||
complex(kind=8) | :: | cdk(0:*) |