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

Sama Arjika; M. P. Chaudhary; M. N. Hounkonnou

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

Volume 9, Issue 2 Pages 83-96 June 30, 2022 332 downloads

Article overview

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 equationsRamanujan theta function.

AMS Subject Classification

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

Reference information

How to Cite

Sama Arjika, M. P. Chaudhary, M. N. Hounkonnou (2022). HEINE'S TRANSFORMATION FORMULA THROUGH $q$-DIFFERENCE EQUATIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 9(2), 83-96.

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