Numerical Evaluation of the 2F1 hypergeometric function for largeand complex value

[Peter Graf]

Hi,

i tried to evaluate the 2F1(a,b,c,z)
hypergeometric function for a=1, b=2-0.1i,
c=2.5-0.01i and z=-5e8. I've used the numerical
recipes routine but this routine couldn't act with
this large value of z. Does someone know a C or
C++ routine, which can act with complex b, c and
large values of z.

Thanks in advance
Peter

 

[user923005]

Hi,

i tried to evaluate the 2F1(a,b,c,z)
hypergeometric function for a=1, b=2-0.1i,
c=2.5-0.01i and z=-5e8. I've used the numerical
recipes routine but this routine couldn't act with
this large value of z. Does someone know a C or
C++ routine, which can act with complex b, c and
large values of z.

Questions of this nature are better asked on analysis.
This one is so popular it ought to be a FAQ.

I have posted code for this before, and I recall that it was
surprisingly simple.
Can't find the code right now, though.