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Certain Bilateral Hypergeometric Identities Of Cayley And Orr Type

Published online by Cambridge University Press:  20 November 2018

Nirmala Agarwal
Nirmala Agarwal*
Affiliation:
Lucknow University
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Recently I (1) gave some new basic hypergeometric identities of the Cayley and Orr type with the help of a certain basic differential operator. The present paper deals with some bilateral generalizations of those identities together with certain new identities of the same type. In § 4 is indicated how the generalizations of Orr's identities given recently by Shukla (8, Theorems I, II) may be connected with each other. Later in § 5 certain general expansions of hypergeometric functions are deduced.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 12 , 1960 , pp. 27 - 39
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Agarwal, N., J. Lond. Math. Soc. 84 (1959), 37–46.Google Scholar
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