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Various representations of a generalized hypergeometric function through statistical techniques

Published online by Cambridge University Press:  24 October 2008

W. J. Anderson  and
A. M. Mathai
W. J. Anderson
Affiliation:
McGill University, Montreal, Canada
A. M. Mathai
Affiliation:
McGill University, Montreal, Canada
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Abstract

This paper deals with a statistical technique of deriving new results on Meijer's G-function. Multiple integral as well as computable series representations are given. The method used is to derive the density of a product of independent beta-distributed random variables by using different statistical techniques, and then compare the expressions to get the desired results. The results obtained in this article do not seem to be available through standard mathematical techniques.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 2 , September 1984 , pp. 325 - 330
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

REFERENCES

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