Generating Functions for Binomial Series Involving Harmonic-like Numbers-Reference-Cited by-同舟云学术

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Generating Functions for Binomial Series Involving Harmonic-like Numbers

Published:2024-08-29 Issue:17 Volume:12 Page:2685
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Li Chunli¹^ORCID,Chu Wenchang²^ORCID

Affiliation:

1. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China

2. 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 F12(y2)-series. Numerous closed-form generating functions for infinite series containing binomial coefficients and harmonic numbers will be established, including several conjectured ones.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/17/2685/pdf

Reference35 articles.

1. Certain summation formulas involving harmonic numbers and generalized harmonic numbers;Choi;Appl. Math. Comput.,2011

2. Binomial Sums with Skew-Harmonic Numbers;Frontczak;Palest. J. Math.,2021

3. Series involving products of two harmonic numbers;Furdui;Math. Mag.,2011

4. Euler sums evaluable from integrals;Jung;Commun. Korean Math. Soc.,2004

5. Li, C.L., and Chu, W. (2023). Series of Convergence Rate -1/4 Containing Harmonic Numbers. Axioms, 12.

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