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A Note on Some Generalized Hypergeometric Reduction Formulas

Author

Listed:
  • Juan Luis González-Santander

    (Department of Mathematics, Universidad de Oviedo, 33007 Oviedo, Spain
    These authors contributed equally to this work.)

  • Fernando Sánchez Lasheras

    (Department of Mathematics, Universidad de Oviedo, 33007 Oviedo, Spain
    These authors contributed equally to this work.)

Abstract

Herein, we calculate reduction formulas for some generalized hypergeometric functions m + 1 F m z in terms of elementary functions as well as incomplete beta functions. For this purpose, we calculate the n -th order derivative of the function z γ B z α , β with respect to z . As corollaries, we obtain reduction formulas of these m + 1 F m z functions for argument unity in terms of elementary functions, as well as beta functions.

Suggested Citation

  • Juan Luis González-Santander & Fernando Sánchez Lasheras, 2023. "A Note on Some Generalized Hypergeometric Reduction Formulas," Mathematics, MDPI, vol. 11(16), pages 1-8, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3483-:d:1215566
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    References listed on IDEAS

    as
    1. Juan Luis González-Santander & Fernando Sánchez Lasheras, 2023. "Sums Involving the Digamma Function Connected to the Incomplete Beta Function and the Bessel functions," Mathematics, MDPI, vol. 11(8), pages 1-16, April.
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