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A new expansion formula for hypergeometric functions of two variables

Published online by Cambridge University Press:  24 October 2008

B. L. Sharma
B. L. Sharma
Affiliation:
Regional Centre for Post-graduate Studies, Dingle Estate, Simla-3, India
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Extract

The main object of this paper is to derive an expansion formula for a generalized hypergeometric function of two variables in a series of products of generalized hypergeometric functions of two variables and a Meijer's G-function. The result established in this paper is the extension of the results recently given by Srivastava (5) and Verma (6). It is interesting to note that some interesting expansions can be derived from the result by specializing the parameters.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 413 - 416
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Chaundy, T. W.Expansions of hypergeometric functions. Quart. J. Math. Oxford Ser. 13 (1942).Google Scholar
(2)Erdélyi, A.Tables of integral transforms, vol. 1 (New York, 1954).Google Scholar
(3)Erdélyi, A.Tables of integral transforms, vol. II (New York, 1954).Google Scholar
(4)Erdélyi, A.Higher transcendental functions, vol. I (New York, 1953).Google Scholar
(5)Srivastava, H. M.Some expansions in product of hypergeometric functions. Proc. Cambridge Philos. Soc. 62 (1966).CrossRefGoogle Scholar
(6)Verma, A.A note on an expansion of hypergeometric functions of two variables. Math. Comp. 20 (1966).Google Scholar
(7)Watson, G. N.Theory of Bessel functions (Cambridge, 1944).Google Scholar