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The integration of hypergeometric functions

Published online by Cambridge University Press:  24 October 2008

L. J. Slater
Affiliation:
Newnham CollegeCambridge

Abstract

In this paper I consider the problem of integrating a generalized hypergeometric function with respect to one of its parameters, together with some general theorems on hyper-geometric transforms which arise out of this problem, and some interesting examples on these theorems.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

REFERENCES

(1)Appell, P. and KampÉ De Febiet, J.Fonctions hypergéométriques et hypersphérigues (Paris, 1926).Google Scholar
(2)Bailey, W. N.Generalized hypergeometric series (Camb. Tracts Math. no. 32, 1935).Google Scholar
(3)Erdelyi, A.Higher transcendental functions, vol. 1 (New York, 1953).Google Scholar
(4)Meijer, C. S.On the G-function. I-VIII. Proc. Acad. Sci. Amst. 49 (1946).Google Scholar
(5)Meixner, J.Die Greensche Funktion des wellenmechanischen Keplerproblems. Math. Z. 36 (1933), 677707.CrossRefGoogle Scholar