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Generalized Hypergeometric Function

02 Aug 2004 (Updated 06 Jan 2005)

Code covered by the BSD License

Calculates the Generalized Hypergeometric Function at the desired accuracy.

File Information

Description

A numerical evaluator for the generalized hypergeometric function for complex arguments with large magnitudes using a direct summation of the Gauss series.

pFq isdefined by (borrowed from Maple):
pFq = sum(z^k / k! * product(pochhammer(n[i], k), i=1..p) / product(pochhammer(d[j], k), j=1..q), k=0..infinity )

The desired accuracy (number of digits) can be specified as a parameter.

This function is a translation from the original fortran77 source code written by W. F. Perger from the Michigan Technological University.

MATLAB release

MATLAB 7 (R14)

Tags for This File
Everyone's Tags	complex, generalized hypergeometric function(2), magnitudes, summation
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Comments and Ratings (6)
05 Jan 2005	Wang Xudong	Why the program does not operate with Matlab 6.5 ? It occurs some errors as follow--- ??? Error: File: D:\MATLAB6p5p1\stbc\genHyper.m Line: 332 Column: 15 Expected a variable, function, or constant, found ")".I think it may be the "bits()", I don't know how to deal with it.
18 Apr 2005	Matt Nunes
23 Oct 2006	Jia Chen	Very good code!
13 Sep 2007	Huynh Hieu	It is good. But do you do about Meijer G function? Could you help me? Thank
06 Oct 2007	tassaddaq hussain	it is fair software and fullfill my requirement to a great extent
04 Aug 2008	James B	In general, this function works just fine. However, a word of warning. If you plan on executing the function more than 8,192 times in any given MATLAB session, you will need to either a) run MATLAB -nojvm from Cygwin, or comment out ALL of the write statements in the Fortran code. Evidently all of these write statements fill up some kind of buffer in the desktop implementation that is bypassed when you run MATLAB from Cygwin. This behavior is present in 2007a Student Version and 2008a full version. I compiled the code using MINGW and the GNUMEX kit. Other issues include the STOP statements in the code that will cause MATLAB to exit erroneously. I had to replace all of the STOP statements with the appropriate MATLAB MEX error statement.

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Updates

05 Oct 2004

Updating so works with MATLAB < 7.0.
bits calls => bits() in two places.

Also including a mex function which does the same thing but much faster.

06 Jan 2005

Fixed backward compatibility problem.

Tag Activity for this File
Tag	Applied By	Date/Time
generalized hypergeometric function	Ben Barrowes	22 Oct 2008 07:28:55
complex	Ben Barrowes	22 Oct 2008 07:28:55
summation	Ben Barrowes	22 Oct 2008 07:28:55
magnitudes	Ben Barrowes	22 Oct 2008 07:28:55
generalized hypergeometric function	Chrsitophe Le Martret	27 Oct 2008 10:33:37

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