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Bisection Series Approach for Exotic 3 F 2 (1)-Series

Author

Listed:
  • Marta Na Chen

    (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

By employing the bisection series approach, two classes of nonterminating 3 F 2 ( 1 ) -series are examined. Several new summation formulae are established in closed form through the summation formulae of Gauss and Kummer for the 2 F 1 ( ± 1 ) -series. They are expressed in terms of well-known functions such as π , Euler–Gamma, and logarithmic functions, which can be used in physics and applied sciences for numerical and theoretical analysis.

Suggested Citation

  • Marta Na Chen & Wenchang Chu, 2024. "Bisection Series Approach for Exotic 3 F 2 (1)-Series," Mathematics, MDPI, vol. 12(12), pages 1-12, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1915-:d:1418979
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    References listed on IDEAS

    as
    1. Shpot, M.A. & Srivastava, H.M., 2015. "The Clausenian hypergeometric function 3F2 with unit argument and negative integral parameter differences," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 819-827.
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