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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Nadia N. Li & Wenchang Chu, 2022. "Extension of the q -Pfaff-Saalschütz Theorem by Two Integer Parameters," Mathematics, MDPI, vol. 10(13), pages 1-6, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2218-:d:847270
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    References listed on IDEAS

    as
    1. Chu, W., 1995. "Symmetry on $q$-Pfaff-Saalschutz-Sheppard-series," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 6(1), pages 31-39.
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