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Integrals involving products of generalized Whittaker functions

Published online by Cambridge University Press:  24 October 2008

F. M. Ragab  and
M. A. Simary
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Extract

In ((4)) Slater gave expansions of the generalized Whittaker functons pFp(x). (She gave this name to the generalized hypergeometric function pFp(x), since it is a generalization of the well-known Whittaker function 1F1(x).) In another paper ((2)), Ragab gave a series of products of generalized Whittaker functions in terms of such functions or in terms of generalized hypergeometric functions pFq(x). In the present paper, integrals involving products of generalized Whittaker functions will be evaluated in terms of such functions or of other generalized hypergeometric functions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 2 , April 1965 , pp. 429 - 432
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Erdelyi, A.Tables of integral transforms, vol. ii (New York, 1954).Google Scholar
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(3)Ragab, F. M.Arch. Math. 8 (1957), 180–183.CrossRefGoogle Scholar
(4)Slater, L. J.Proc. Cambridge Philos. Soc. 50 (1954), 628–631.CrossRefGoogle Scholar
(5)Titchmarch, E. C.Theory of Fourier integrals (Oxford, 1937).Google Scholar