New families of alternating harmonic number sums

Anthony Sofo

doi:10.1515/tmj-2015-0022

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December 2015 New families of alternating harmonic number sums

Anthony Sofo

Author Affiliations +

Tbilisi Math. J. 8(2): 195-209 (December 2015). DOI: 10.1515/tmj-2015-0022

Abstract

We develop new closed form representations of sums of alternating harmonic numbers and reciprocal binomial coefficients.

Citation

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Anthony Sofo. "New families of alternating harmonic number sums." Tbilisi Math. J. 8 (2) 195 - 209, December 2015. https://doi.org/10.1515/tmj-2015-0022

Information

Received: 18 May 2015; Accepted: 14 July 2015; Published: December 2015

First available in Project Euclid: 12 June 2018

zbMATH: 1321.05008

MathSciNet: MR3402503

Digital Object Identifier: 10.1515/tmj-2015-0022

Subjects:

Primary: 05A10

Secondary: 05A19 , 33C20

Keywords: Alternating harmonic numbers , binomial coefficients , Combinatorial series identities , integral representation , Partial fraction approach , Summation formulas