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Some combinatorial series identities

Published online by Cambridge University Press:  24 October 2008

H. M. Srivastava  and
R. K. Raina
H. M. Srivastava
Affiliation:
Department of Mathematics, University of Victoria, Victoria, British Columbia V8W 2Y2, Canada
R. K. Raina
Affiliation:
Department of Mathematics, S.K.N. Agriculture College, University of Udaipur, Jobmer-303329, Rajasthan, India
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Abstract

While expanding upon the work of H. M. Srivastava [6] on generalizations of an interesting identity of Carlson, R. G. Buschman and H. M. Srivastava [2] proved a number of double-series identities and listed various cases of reducibility of certain hypergeometric series in two variables (cf. [1], p. 150, equation (29)). The object of the present paper is to derive three new classes of combinatorial series identities (contained in Theorems 1, 2 and 3 below) which unify and extend the results of these earlier papers ([2], [6]). A multiple-series analogue of one of the combinatorial series identities presented here is also recorded.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 1 , July 1984 , pp. 9 - 13
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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