HEINE'S TRANSFORMATION FORMULA THROUGH $q$-DIFFERENCE EQUATIONS
Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 220
DOI:
Author :
Sama Arjika (Department of Mathematics and Informatics, University of Agadez, P.O. Box: 199, Agadez, NIGER)
M. P. Chaudhary (International Scientific Research and Welfare Organization (Albert Einstein Chair Professor of Mathematical Sciences), New Delhi - 110018, INDIA)
M. N. Hounkonnou (International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072 BP 50 Cotonou, BENIN REPUBLIC)
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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