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Some formulae for the product of hypergeometric functions

Published online by Cambridge University Press:  24 October 2008

F. M. Ragab
F. M. Ragab
Affiliation:
Faculty of ScienceEin Shams UniversityAbbassia, Cairo
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Extract

The formula to be established is

where α > ½, β > ½and b is real and positive. In § 3 we shall generalize this by proving

where α > (p−l)/p, β > (p−l)/p, b > 0 and p = 2,3,….

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 1 , January 1957 , pp. 106 - 110
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Ragab, F. M.Proc. Glasg. Math. Ass. 1 (1953), 192.CrossRefGoogle Scholar
(2)Copson, E. T.Theory of Junctions of a complex variable (Oxford, 1935).Google Scholar