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Evaluation of Binomial Series with Harmonic Numbers
Received:January 06, 2022
Revised:May 21, 2022
Key Words
:
digamma function
Lerch transcendent
binomial coefficient
central binomial coefficient
harmonic number
stirling number of the first kind
Fund Project
:
Author Name
Affiliation
Khristo BOYADZHIEV
Department of Mathematics
,
Ohio Northern University
,
Ada
,
OH 45810
,
USA
Hits
:
354
Download times
:
268
Abstract
:
We define a special function related to the digamma function and use it to evaluate in closed form various series involving binomial coefficients and harmonic numbers.
Citation:
DOI
:
10.3770/j.issn:2095-2651.2023.01.006
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