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Hypergeometric Mellin transforms

Published online by Cambridge University Press:  24 October 2008

L. J. Slater
L. J. Slater
Affiliation:
Newnham CollegeCambridge
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Extract

The Mellin transforms of generalized hypergeometric functions are discussed in this paper, and it is shown how some of the most general integrals of the Mellin type can be deduced from them. Four general theorems are considered and a number of special cases are given in detail.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 51 , Issue 4 , October 1955 , pp. 577 - 589
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

REFERENCES

(1)Erdelyi, A.Tables of integral transforms, vol. 1 (Bateman Project, 1954).Google Scholar
(2)Slater, L. J.The integration of hypergeometric functions. Proc. Camb. phil. Soc. 51 (1955), 288–96.CrossRefGoogle Scholar
(3)Titchmarsh, E. C.Fourier integrals (Oxford, 1948).Google Scholar