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Integrals involving products of G-function and Gauss's hypergeometric function

Published online by Cambridge University Press:  24 October 2008

K. C. Sharma
K. C. Sharma
Affiliation:
University of Rajasthan, Jaipur, India
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Extract

1. The main object of this note is to evaluate two definite integrals involving the product of Meijer's G-function with Gauss's hypergeometric function. The first result established in this paper is the extension of the results recently given by Saxena ((3), page 490) in these proceedings and includes both of his results given there as particular cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 539 - 542
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1) Erdélyi, A. et al. Higher transcendental functions, vol. I (McGraw-Hill; New York, 1953).Google Scholar
(2) Erdélyi, A. et al. Tables of integral transforms, vol. II (McGraw-Hill; New York, 1954).Google Scholar
(3) Saxena, R. K. Definite integrals involving G-functions. Proc. Cambridge Philos. Soc. 58 (1962), 489–491.CrossRefGoogle Scholar