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Extensions of Euler harmonic sums

Published:2012 Issue:2 Volume:6 Page:317-328
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Sofo Anthony¹,Cvijovic Djurdje²

Affiliation:

1. Victoria University, Melbourne City, VIC, Australia

2. Atomic Physics Laboratory, Vinča Institute of Nuclear Sciences, Belgrade

Abstract

Three new closed-form summation formulae involving harmonic numbers are established using simple arguments and they are very general extensions of Euler's famous harmonic sum identity. Some illustrative special cases as well as immediate consequences of the main results are also considered.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Variant Alternating Euler Sums of Higher Order;Discrete Mathematics Letters;2023-03-08

2. Sums involving the binomial coefficients, Bernoulli numbers of the second kind and harmonic numbers;Notes on Number Theory and Discrete Mathematics;2023-02-27

3. Four types of variant Euler harmonic sums;Applicable Analysis and Discrete Mathematics;2023

4. Explicit evaluations of log–log integrals;The Journal of Analysis;2022-10-12

5. Some evaluations of parametric Euler type sums of harmonic numbers;Integral Transforms and Special Functions;2022-07-11

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