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 NameAffiliation
Khristo BOYADZHIEV Department of Mathematics, Ohio Northern University, Ada, OH 45810, USA 
Hits: 306
Download times: 227
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
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.