Extension of the <i>q</i>-Pfaff-Saalschütz Theorem by Two Integer Parameters

Abstract

We investigate a class of terminating 3ϕ2-series that comes from the balanced series perturbed by two extra integer parameters. By making use of the linearization method, a general summation formula is established that extends the well-known q-Pfaff-Saalschütz theorem. Five closed formulae are exemplified as applications.

Keywords

• basic hypergeometric series
• balanced series
• linearization method