HEINE'S TRANSFORMATION FORMULA THROUGH $q$-DIFFERENCE EQUATIONS
Print ISSN: 2319-1023 | Online ISSN: 2582-5461 |
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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