numerical evaluation of hypergeometric
- To: mathgroup@smc.vnet.net
- Subject: [mg11934] numerical evaluation of hypergeometric
- From: miglbaur@itp.tu-graz.ac.at (Hans Miglbauer)
- Date: Thu, 9 Apr 1998 00:33:39 -0400
- Organization: TU Graz
Hi,
I have the following problem:
The power series of the generalized hypergeometric function for its
argument equal to unity, i.e.,
HypergeometricPFQ[ {a_1,..,a_p}, {b_1,..,b_q}, 1 ]
converges absolutely, though very slowly, for apropriate real-parts of
the parameters a_i, b_j.
If the parameters are fixed, the function
N[ ..., >>acc<< ]
when applied to this hyp.geo. function seems to provide the numerical
value with accuracy >>acc<<.
Unfortunately, in some cases and for algebraic reasons the result seems
to be far less accurate (or even wrong).
Now I would like to ask You, what numerical algorithm is used by
Mathematica for this task. Thanks!
Hans Miglbauer