Extension of the q -Pfaff-Saalschütz Theorem by Two Integer Parameters

Nadia N. Li and Wenchang Chu
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Nadia N. Li: School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
Wenchang Chu: Department of Mathematics and Physics, University of Salento, 73100 Lecce, Italy

Mathematics, 2022, vol. 10, issue 13, 1-6

Abstract: We investigate a class of terminating 3 ϕ 2 -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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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