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An integral involving Fox's H-function and Whittaker 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

1. In this paper we have evaluated an integral involving Fox's H-functions and Whittaker functions. One particular case of the integral has been employed to establish an expansion formula for the H-function involving Laguerre polynomials.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 709 - 712
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Bajpai, S. D.Some results involving Fox's H-function and Laguerre polynomials. Indian J. Mech. Math. (to appear.)Google Scholar
(2)Erdélyi, A.Tables of integral transforms, vol. 2 (New York: McGraw-Hill, 1954).Google Scholar
(3)Fox, C.The G and H functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc. 98 (1961), 395–429.Google Scholar