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Some expansion formulae for Fox's H-function involving exponential functions

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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Extract

In this paper we have evaluated some integrals involving Fox's Η-function and employed them to establish some expansion formulae for the Η-function involving exponential functions. Some results recently given by MacRobert (7) and Kesarwani (5) have been shown as particular cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 87 - 92
Copyright
Copyright © Cambridge Philosophical Society 1970

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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)Churchill, R. V.Fourier series and boundary value problems (McGraw-Hill; New York, 1941).Google Scholar
(3)Erdélyi, A.Higher transcendental functions, vol. 1 (McGraw-Hill; New York, 1953).Google Scholar
(4)Fox, C.The G and H-functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc. 98 (1961), 395–429.Google Scholar
(5)Kesarwani, R. N.Fourier series for Meijer's G-functions. Compositio Math. 17 (2) (1966), 149–151.Google Scholar
(6)MacRobert, T. M.Functions of a complex variable (Macmillan; London, 1962).Google Scholar
(7)MacRobert, T. M.Fourier series for E-functions. Math. Z. 75 (1961), 79–82.CrossRefGoogle Scholar