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Five classes of binomial/harmonic series of convergence rate $ -1/4 $

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Bibliographische Detailangaben
Titel:	Five classes of binomial/harmonic series of convergence rate $ -1/4 $
Autoren:	Chunli Li, Wenchang Chu
Quelle:	AIMS Mathematics, Vol 10, Iss 7, Pp 16264-16290 (2025)
Verlagsinformationen:	AIMS Press, 2025.
Publikationsjahr:	2025
Bestand:	LCC:Mathematics
Schlagwörter:	hypergeometric series, gamma function, harmonic number, riemann zeta function, Mathematics, QA1-939
Beschreibung:	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.
Publikationsart:	article
Dateibeschreibung:	electronic resource
Sprache:	English
ISSN:	2473-6988
Relation:	https://doaj.org/toc/2473-6988
DOI:	10.3934/math.2025727
Zugangs-URL:	https://doaj.org/article/82a4162f05204e46839bbbc822757da9
Dokumentencode:	edsdoj.82a4162f05204e46839bbbc822757da9
Datenbank:	Directory of Open Access Journals

Beschreibung
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.
ISSN:	24736988
DOI:	10.3934/math.2025727