December 2024 Infinite Series involving skew harmonic numbers
Chunli Li, Wenchang Chu
Bull. Belg. Math. Soc. Simon Stevin 31(5): 650-659 (December 2024). DOI: 10.36045/j.bbms.240714

Abstract

By incorporating partial fraction decompositions, recurrence relations and hypergeometric series evaluations, an analytic solution is presented for the evaluation problems about a class of infinite series involving squared central binomial coefficients and skew harmonic numbers.

Citation

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Chunli Li. Wenchang Chu. "Infinite Series involving skew harmonic numbers." Bull. Belg. Math. Soc. Simon Stevin 31 (5) 650 - 659, December 2024. https://doi.org/10.36045/j.bbms.240714

Information

Published: December 2024
First available in Project Euclid: 23 December 2024

Digital Object Identifier: 10.36045/j.bbms.240714

Subjects:
Primary: 11B65
Secondary: 11M06 , 65B10

Keywords: central binomial coefficient , harmonic number , hypergeometric series , partial fraction decomposition , recurrence relation

Rights: Copyright © 2024 The Belgian Mathematical Society

Vol.31 • No. 5 • December 2024
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