Wenchang Chu, “Further Apéry-Like Series for Riemann Zeta Function”, Mat. Zametki, 2021, Volume 109, Issue 1,Pages <nobr>136

This article is cited in 5 papers

Papers published in the English version of the journal

Further Apéry-Like Series for Riemann Zeta Function

Wenchang Chu^ab

^a School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, 466001 P. R. China
^b Department of Mathematics and Physics, Università del Salento, Lecce, 73100 Italy

Abstract: By means of two transformation formulas of classical hypergeometric series, several Apéry-like series involving harmonic numbers of higher order are derived for the Riemann zeta function, including a few identities conjectured by Sun (2015).

Keywords: gamma function, Riemann zeta function, hypergeometric series, harmonic number, binomial coefficient, Bell polynomial.

Received: 20.01.2020

Language: English