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! ITIKA computes the integral of the modified Bessel functions I0(t) and K0(t).
Discussion:
This procedure integrates modified Bessel functions I0(t) and
K0(t) with respect to t from 0 to x.
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:
18 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 upper limit of the integral.
Output, real ( kind = 8 ) TI, TK, the integrals of I0(t) and K0(t)
from 0 to X.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=8) | :: | x | ||||
| real(kind=8) | :: | ti | ||||
| real(kind=8) | :: | tk |