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Matematicheskie Zametki, 2021, Volume 109, Issue 1, paper published in the English version journal
(Mi mzm12679)
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This article is cited in 5 scientific papers (total in 5 papers)
Papers published in the English version of the journal
Further Apéry-Like Series for Riemann Zeta Function
Wenchang Chuab 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
Citation:
Wenchang Chu, “Further Apéry-Like Series for Riemann Zeta Function”, Math. Notes, 109:1 (2021), 136–146
Linking options:
https://www.mathnet.ru/eng/mzm12679
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Abstract page: | 148 |
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