HEINE'S TRANSFORMATION FORMULA THROUGH $q$-DIFFERENCE EQUATIONS

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 186

Abstract

In this paper, we give an extension of the first Heine's transformation formula using $q$-difference equations. Further, we discussed a Ramanujan's theta function $\psi(q)$ and deduced it as a particular case.

Keywords and Phrases

$q$-Difference operator; $q$-Binomial theorem; $q$-integral identities; $q$-Difference equations, Ramanujan theta function.

A.M.S. subject classification

05A30, 11B65, 33D15, 33D60, 39A13.

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