Series of Convergence Rate −1/4 Containing Harmonic Numbers

Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients. Among them, three conjectured identities due to Z.-W....

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Bibliographic Details

Published in:	Axioms
Main Authors:	Chunli Li, Wenchang Chu
Format:	Article
Language:	English
Published:	MDPI AG 2023-05-01
Subjects:	hypergeometric series Gamma function Riemann zeta function harmonic number central binomial coefficient
Online Access:	https://www.mdpi.com/2075-1680/12/6/513