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ON BASIC ANALOGUE OF CLASSICAL SUMMATION THEOREMS DUE TO ANDREWS
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  • Journal title : Honam Mathematical Journal
  • Volume 38, Issue 1,  2016, pp.25-37
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2016.38.1.25
 Title & Authors
ON BASIC ANALOGUE OF CLASSICAL SUMMATION THEOREMS DUE TO ANDREWS
Harsh, Harsh Vardhan; Rathie, Arjun K.; Purohit, Sunil Dutt;
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 Abstract
In 1972, Andrews derived the basic analogue of Gauss`s second summation theorem and Bailey`s theorem by implementing basic analogue of Kummer`s theorem into identity due to Jackson. Recently Lavoie et.al. derived many results closely related to Kummer`s theorem, Gauss`s second summation theorem and Bailey`s theorem and also Rakha et. al. derive the basic analogues of results closely related Kummer`s theorem. The aim of this paper is to derive basic analogues of results closely related Gauss`s second summation theorem and Bailey`s theorem. Some applications and limiting cases are also considered.
 Keywords
Basic hypergeometric function;generalized Gauss`s second summation theorem;generalized Bailey`s theorem;Kummer`s theorem;Jackson`s identity;
 Language
English
 Cited by
 References
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