I tried to calculate some integral numerically. It contain hypergeometric function $_2F_1(a,b,c,z)$ where $a$ and $b$ are complex numbers. I can't find numerical library which contains hypergeometric function with complex parameters. Does anybody tell me name of numerical library which can be done it?

I know a little bit C, C++, python, FORTRAN.


Since I faced this problem quite recently, I tell what I used.

The first link is in "Numerical Recipes"; on their site, you can recover older versions for free .

The second link if from GNU .

  • $\begingroup$ GNU library contains only hypergeometry function of real parameters and where $b=a^*$. It does not suit me. I will try to use Numerical Recipes. Thanks a lot. $\endgroup$ – Peter Nov 14 '15 at 10:05
  • $\begingroup$ You are welcome. If you go to the site of NR, you can access for free the books of previous editions. $\endgroup$ – Claude Leibovici Nov 14 '15 at 10:10
  • $\begingroup$ I have one more question Claude Leibovici. I find not only book but also numerical library nr.h with examples. This library contain hypergeometry function. Does it available for free too? $\endgroup$ – Peter Nov 14 '15 at 11:07
  • $\begingroup$ Where did you find the library ? $\endgroup$ – Claude Leibovici Nov 14 '15 at 15:36
  • $\begingroup$ I found it in the Internet. As an example yandex.ru/search/… $\endgroup$ – Peter Nov 15 '15 at 3:44

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