Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-20T09:21:34.757Z Has data issue: false hasContentIssue false

An expansion formula for Fox's H-function

Published online by Cambridge University Press:  24 October 2008

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

Extract

The object of this paper is to establish an integral involving Fox's H-function and employ it to obtain an expansion formula for the H-function involving Bessel functions.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1969

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Braaksma, B. L. J.Asymptotic expansions and analytic continuations for a class of Barnes-integrals. Compositio Math. 15 (1963), 239341.Google Scholar
(2)Erdélyi, A.Higher transcendental functions, vol 1 (McGraw-Hill; New York, 1953).Google Scholar
(3)Erdélyi, A.Tables of integral transforms, vol. 2 (McGraw-Hill; New York, 1954).Google Scholar
(4)Fox, C.The G and H functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc. 98 (1961), 395429.Google Scholar
(5)Luke, Y. L.Integrals of Bessel functions (McGraw-Hill; New York, 1962).Google Scholar