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Generating Functions for Binomial Series Involving Harmonic-like Numbers

Author

Listed:
  • Chunli 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

By employing the coefficient extraction method, a class of binomial series involving harmonic numbers will be reviewed through three hypergeometric F 1 2 ( y 2 ) -series. Numerous closed-form generating functions for infinite series containing binomial coefficients and harmonic numbers will be established, including several conjectured ones.

Suggested Citation

  • Chunli Li & Wenchang Chu, 2024. "Generating Functions for Binomial Series Involving Harmonic-like Numbers," Mathematics, MDPI, vol. 12(17), pages 1-15, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2685-:d:1466511
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    References listed on IDEAS

    as
    1. Junesang Choi, 2014. "Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, July.
    2. Jonathan M. Borwein & Marc Chamberland, 2007. "Integer Powers of Arcsin," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-10, May.
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