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An infinite summation formula associated with Appell's function F2

Published online by Cambridge University Press:  24 October 2008

H. M. Srivastava
H. M. Srivastava
Affiliation:
Department of Mathematics, West Virginia University, Morgantown, West Virginia, U.S.A.
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Extract

1. Recently in these proceedings we proved that, if ℜ(α) > 1 and ℜ(α) > − 1, then ((10), p. 1088)

where F2 denotes the Appell function (see, e.g., (8), p. 211),

with, as usual,

and for covergence of the double series,

and x⇌y indicates the presence of a second term that originates from the first by interchanging x and y.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 65 , Issue 3 , May 1969 , pp. 679 - 682
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

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