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

Authors :
Chu, Wenchang
Source :
Journal of Difference Equations & Applications. Nov/Dec2022, Vol. 28 Issue 11/12, p1381-1404. 24p.
Publication Year :
2022

Abstract

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

Subjects

Subjects :
*INFINITE series (Mathematics)
*BINOMIAL theorem
*BINOMIAL coefficients
*INTEGRAL representations
*BETA functions

Details

Language :
English
ISSN :
10236198
Volume :
28
Issue :
11/12
Database :
Academic Search Index
Journal :
Journal of Difference Equations & Applications
Publication Type :
Academic Journal
Accession number :
161082601
Full Text :
https://doi.org/10.1080/10236198.2022.2138755
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