ON CERTAIN IDENTITIES INVOLVING BASIC (q) HYPERGEOMETRIC SERIES

Chandan Kumar Singh; Satya Prakash Singh; Vijay Yadav

doi:10.56827/SEAJMMS.2022.1802.5

Chandan Kumar Singh Department of Mathematics, Tilak Dhari Post Graduate College, Jaunpur - 222002, Uttar Pradesh, INDIA
Satya Prakash Singh Department of Mathematics, Tilak Dhari Post Graduate College, Jaunpur - 222002, Uttar Pradesh, INDIA
Vijay Yadav Department of Mathematics, SPDT College, Andheri (E), Mumbai, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1802.5

Keywords: Transformation formula, identity, basic bilateral hypergeometric series, summation formula.

Abstract

In this paper we establish certain identities by making use of Bailey’s 2Ψ2 transformation formula. Special cases of these identities have also been discussed.