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  
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Author NameAffiliation
Khristo BOYADZHIEV Department of Mathematics, Ohio Northern University, Ada, OH 45810, USA 
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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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