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! ELIT3 computes the elliptic integral of the third kind.
Discussion:
Gauss-Legendre quadrature is used.
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:
14 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 ) PHI, the argument in degrees.
Input, real ( kind = 8 ) HK, the modulus, between 0 and 1.
Input, real ( kind = 8 ) C, the parameter, between 0 and 1.
Output, real ( kind = 8 ) EL3, the value of the elliptic integral
of the third kind.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=8) | :: | phi | ||||
| real(kind=8) | :: | hk | ||||
| real(kind=8) | :: | c | ||||
| real(kind=8) | :: | el3 |