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Some expansions in products of hypergeometric functions

Published online by Cambridge University Press:  24 October 2008

G. K. Dhawan
G. K. Dhawan
Affiliation:
M.A. College of Technology, Bhopal, India
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Extract

1. Making use of the familiar abbreviation

let us adopt a contracted notation for the generalized hypergeometric function AFB(x) and write

where (a) denotes the sequence of parameters a1, a2,…, aA. It will be assumed throughout the present paper that there are A of the ‘a’ parameters, A′ of the ‘a′’ parameters, and so on. Thus [(a)]m is to be interpreted as

with similar interpretations for [(a′)]m, etc.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 721 - 724
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

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