Generating Functions for Binomial Series Involving Harmonic-like Numbers

Chunli Li and Wenchang Chu ()
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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

Mathematics, 2024, vol. 12, issue 17, 1-15

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.

Keywords: harmonic numbers; central binomial coefficient; hypergeometric series (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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