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! IK01A compute Bessel function I0(x), I1(x), K0(x), and K1(x).
Discussion:
This procedure computes modified Bessel functions I0(x), I1(x),
K0(x) and K1(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:
16 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 ) X, the argument.
Output, real ( kind = 8 ) BI0, DI0, BI1, DI1, BK0, DK0, BK1, DK1, the
values of I0(x), I0'(x), I1(x), I1'(x), K0(x), K0'(x), K1(x), K1'(x).
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | bi0 | ||||
| real(kind=8) | :: | di0 | ||||
| real(kind=8) | :: | bi1 | ||||
| real(kind=8) | :: | di1 | ||||
| real(kind=8) | :: | bk0 | ||||
| real(kind=8) | :: | dk0 | ||||
| real(kind=8) | :: | bk1 | ||||
| real(kind=8) | :: | dk1 |