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! IKV compute modified Bessel function Iv(x) and Kv(x) and their derivatives.
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:
17 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(x) and Kv(x).
V = N + V0.
Input, real ( kind = 8 ) X, the argument.
Output, real ( kind = 8 ) VM, the highest order computed.
Output, real ( kind = 8 ) BI(0:N), DI(0:N), BK(0:N), DK(0:N), the
values of In+v0(x), In+v0'(x), Kn+v0(x), Kn+v0'(x).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=8) | :: | v | ||||
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | vm | ||||
| real(kind=8) | :: | bi(0:*) | ||||
| real(kind=8) | :: | di(0:*) | ||||
| real(kind=8) | :: | bk(0:*) | ||||
| real(kind=8) | :: | dk(0:*) |