Abstract
We develop new closed form representations of sums of alternating harmonic numbers and reciprocal binomial coefficients.
Citation
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
Rights: Copyright © 2015 Tbilisi Centre for Mathematical Sciences