# ON BASIC ANALOGUE OF CLASSICAL SUMMATION THEOREMS DUE TO ANDREWS

• Harsh, Harsh Vardhan (Department of Mathematics Amity School of Eng. and Tech., Amity University Rajasthan) ;
• Rathie, Arjun K. (Department of Mathematics, School of Mathematical and Physical Sciences, Central University of Kerala, Riverside Transit Campus) ;
• Purohit, Sunil Dutt (Department of HEAS (Mathematics), Rajasthan Technical University)
• Accepted : 2015.12.23
• Published : 2016.03.25
• 70 15

#### 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

#### References

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