Year: 2025
Type: article
Abstract: By applying the 'coefficient extraction method' to the symmetric transformation of hypergeometric series due to Chu and Zhang (2014), we examine systematically five classes of infinite series of convergence rate '$ -1/4 $' containing binomial coefficients and harmonic numbers. Numerous closed formulae in terms of universal constants (such as $ \pi $, $ \ln2 $, and the Riemann zeta values) are established.
Source: AIMS Mathematics
DOI: 10.3934/math.2025727
Authors: Chunli Li, Wenchang Chu, Via Dalmazio Birago 9/E, Lecce 73100, Italy
Institution: Zhoukou Normal University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
OpenAlex ID: W4412872010