Computational Mathematics

Dr. Warren F. Perger

Computation of the confluent hypergeometric and generalized hypergeometric function for arbitrary, complex, arguments

CONHYP

Evaluation of the confluent hypergeometric function for large, complex arguments. The article describing this software is "CONHYP: A Numerical Evaluator of the Confluent Hypergeometric Function for Complex Arguments of Large Magnitudes," Transactions on Mathematical Software, vol. 18, no. 3, pgs. 345-349, 1992, and "Numerical Evaluation of the Confluent Hypergeometric Function for Complex Arguments of Large Magnitudes," J. Comput. Appl. Math vol. 39, pgs. 193-200, 1992 The software can be obtained here:conhyp code, with driver file and sample input file. To test, simply compile the driver.f and conhyp.f files as:

f77 driver.f conhyp.f -o test1f1
Then test with:
test1f1 < data

pFq

Evaluation of the generalized hypergeometric function for large, complex arguments. The article describing this software is in Computer Physics Communications, vol. 77, pgs. 249-254, 1993. The software can be obtained here: pFq code, and the driver program (referred to in the article, below):pfq driver program. Click here to view the article describing the program: pFq article.

pFq in Matlab

Ben Barrowes has re-written the original pFq Fortran program into Matlab. To obtain a copy, click here: Matlab version
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