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q -Analogs of H n , m r σ and Their Applications

Author

Listed:
  • Hao Guan

    (Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
    School of Computer Science of Information Technology, Qiannan Normal University for Nationalities, Duyun 558000, China
    These authors contributed equally to this work.)

  • Sibel Koparal

    (Department of Mathematics, Bursa Uludağ University, Bursa 16059, Turkey
    These authors contributed equally to this work.)

  • Neşe Ömür

    (Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey
    These authors contributed equally to this work.)

  • Waseem Ahmad Khan

    (Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia)

Abstract

In this paper, inspired by recent works, we define q -analogs of H n , m σ and H n , m r σ . By implementing them, we obtain new interesting results by taking the derivative or using generating functions.

Suggested Citation

  • Hao Guan & Sibel Koparal & Neşe Ömür & Waseem Ahmad Khan, 2023. "q -Analogs of H n , m r σ and Their Applications," Mathematics, MDPI, vol. 11(19), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4159-:d:1253116
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    References listed on IDEAS

    as
    1. Giuseppe Dattoli & Silvia Licciardi & Elio Sabia & Hari M. Srivastava, 2019. "Some Properties and Generating Functions of Generalized Harmonic Numbers," Mathematics, MDPI, vol. 7(7), pages 1-12, June.
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