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On some results involving Fox's H-function and Jacobi polynomials

Published online by Cambridge University Press:  24 October 2008

S. D. Bajpai
S. D. Bajpai
Affiliation:
Department of Mathematics, Shri G. S. Technological Institute, Indore (India)
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Abstract

In this paper we have evaluated an integral involving Fox's H-function and Jacobi polynomial and employed its particular cases to establish two expansion formulae for the H-function involving Jacobi polynomials.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 697 - 701
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Bajpai, S. D.An integral involving Meijer's G-function and Jacobi polynomials. J. Sci. Engrg Res. 11 (1) (1967), 113–115.Google Scholar
(2)Bajpai, S. D. Some expansion formulae for Meijer's G-function. Vijnana Parishad Anusand-han Patrika (1968) (to be published).Google Scholar
(3)Bhonsle, B. R.On some results involving Jacobi polynomials. Jour. Indian Math. Soc. 26 (1962), 187–190.Google Scholar
(4)Bbaaksma, B. L. J.Asymptotic expansions and analytic continuations for a class of Barnes integrals. Compositio Math. 15 (1963), 239–341.Google Scholar
(5)Ebdélyi, A.Higher transcendental functions, vol. 1 (New York: McGraw-Hill, 1953).Google Scholar
(6)Ebdélyi, A.Tables of integral transforms, vol. 2 (New York: McGraw-Hill, 1954).Google Scholar
(7)Fox, C.The G and H-functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc. 98, (1961), 395–429.Google Scholar
(8)MacRobebt, T. M.Functions of a complex variable (London: MacMillan Co., 1961).Google Scholar
(9)Rainvjxle, E. D.Special functions (New York: MacMillan Co., 1960).Google Scholar
(10)Saxena, R. K.On some results involving Jacobi polynomials. Jour. Indian Math. Soc. 28 (1964), 197–202.Google Scholar
(11)Wimp, J. and Luke, Y. L.Expansion formulae for generalized hypergeometric functions. Bend. Circ. Mat. Palermo 11 (1962), 351–366.CrossRefGoogle Scholar