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Journal of Difference Equations and Applications Volume 28, 2022 - Issue 11-12
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Articles

Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)

Wenchang Chua School of Mathematics and Statistics, Zhoukou Normal University, Henan, People's Republic of China;b Department of Mathematics and Physics, University of Salento, Lecce, ItalyCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-8425-212X
ORCID Icon
Pages 1381-1404 | Received 18 May 2022, Accepted 28 Aug 2022, Published online: 26 Oct 2022
 
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Abstract

We evaluate, in closed forms, twelve infinite series that contain a free variable x and binomial coefficients (3n+ϵn) in the denominators. Several summation formulae resembling Gosper's sum are derived as consequences.

2020 AMS Subject Classifications:

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No potential conflict of interest was reported by the author(s).

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