Confluent hypergeometric function

asd · January 24th, 2007, 12:07 am

Can someone please advice freeware for evaluating confluent hypergeometric function 1F1(a,b,c) where all a,b,z are complex arguments?Thanks in advance

sanjaysivakumar · January 29th, 2007, 7:59 am

try R- Language

Sgaragnaus · January 29th, 2007, 8:33 am

try also GNU Scientific Library

AVt · January 30th, 2007, 8:08 pm

have not checked whether the suggested ones cover the complex case (doubt for GSL),but it's the limiting case "b" = infinity in 2F1, so you can use *code* for that. Some lamesolution is in NR, but never checked, if they give it for the cut plane (or only the disk). Ifyou need the general case it is hard ... best know for 'simple' coding is Forrey (Fortran),for good results you intrinsically need high precision. Hm ... Maxima seems to have it.