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Topic: Seeking fast implementation of hypergeometric function 2F1 with extended precisions...
Replies: 1   Last Post: Jul 5, 2007 11:02 PM

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Vista

Posts: 259
Registered: 5/25/07
Seeking fast implementation of hypergeometric function 2F1 with extended precisions...
Posted: Jul 4, 2007 8:05 PM
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Hi all,

I am looking for a high/multiple precision hypergeometric function 2F1(a, b,
c, z) implementation. My application needs b and c to be very large, and it
is beyond the range of double precision.

More specifically, I hope I will be able to looking into the multiple
precision implementation of the hypergeometric function 2F1(a, b, c, z) and
change the power series

a0+a1*z+a2*z^2+a3*z^3+...

into

a0+a1*z1+a2*z2+a3*z3+...

where z1, z2, z3, ... are user supplied high precision numbers.

The whole evaluation of the hypergeometric function has to be extremely fast
for my application.

Does GSL or IMSL or GMP or MPFR have high precision hypergeometric function
2F1? Any other fast implmentation of 2F1 in C/C++/Fortran packages with high
precision? Overall I can go with a maximal of 30 digits precison. And for
larger scale, I probably need 100+ digits precision...

Could anybody shed some lights?

Thanks a lot!





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