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Double Meijer transformations of certain hypergeometric functions

Published online by Cambridge University Press:  24 October 2008

H. M. Srivastava  and
J. P. Singhal
H. M. Srivastava
Affiliation:
Department of Mathematics, The University, Jodhpur, India
J. P. Singhal
Affiliation:
Department of Mathematics, The University, Jodhpur, India
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Extract

Following the usual notation for generalized hypergeometric functions we let

(a) denotes the sequence of A parameters

that is, there are A of the a parameters and B of the b parameters. Thus ((a))m has the interpretation

with a similar interpretation for ((b))m; Δ(k; α) stands for the set of k parameters

and for the sake of brevity, the pair of parameters like α + β, α − β will be written as α ± β, the gamma product Γ(α + β) Γ(α − β) as Γ(α ± β), and so on.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 2 , April 1968 , pp. 425 - 430
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

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