Some \(\mathop{_3\psi_3}\) Transformations Formulas Related to Bailey’s \(\mathop{_2\psi_2}\)

Zhizheng Zhang1
1Department of Mathematics, Luoyang Teachers College, Luoyang 471022, P.R.China

Abstract

In this paper, using the \(q\)-exponential operator technique to Bailey’s \(\mathop{_2\psi_2}\) transformation, we obtain some interesting \(\mathop{_3\psi_3}\)
transformation formulae and summation theorems.