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

Authors

  • 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)

Keywords:

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

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.

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Published

2023-06-08

Issue

Vol. 9 No. 02 (2022): Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Section

Articles