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Some results on the H-function involving the generalized Laguerre polynomial

Published online by Cambridge University Press:  24 October 2008

Manilal Shah
Manilal Shah
Affiliation:
Department of Mathematics, P.M.B.G. College, Indore (M.P.), India
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Abstract

In this paper the integral involving the Fox H-function and the Laguerre polynomial has been evaluated and the expansion formula for the H-function has been established with the application of this integral. Many particular results have also been given.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 713 - 720
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Braaksma, B. L. J.Asymptotic expansions and analytic continuations for a class of Barnes integrals. Compositio Math. 15 (1963), 239–341.Google Scholar
(2)Erdélyi, A.Higher transcendental functions, vol. I (New York: McGraw-Hill, 1953).Google Scholar
(3)Erdélyi, A.Tables of integral transforms, vol. II (New York: McGraw-Hill, 1954).Google Scholar
(4)Fox, C.G and H functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc. 98 (1962), 395–429.Google Scholar
(5)Gupta, K. C. and Jain, U. C.The H-functions. II. Proc. Nat. Acad. Sci. India, Sect. A. (In the Press.)Google Scholar
(6)Rainville, E. D.Special functions1 (New York: Macmillan, 1960).Google Scholar
(7)Wright, E. M.The asymptotic expansion of the generalized hypergeometric function. J. Lond. Math. Soc. 10 (1935), 286–293.CrossRefGoogle Scholar
(8)Wright, E. M.The asymptotic expansion of the generalized Bessel function. Proc. Lond. Math. Soc. 38 (1935), 257–270.CrossRefGoogle Scholar