Second order alternating harmonic number sums-Reference-Cited by-同舟云学术

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Second order alternating harmonic number sums

Published:2016 Issue:13 Volume:30 Page:3511-3524
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sofo Anthony¹

Affiliation:

1. Victoria University, Melbourne City, Victoria, Australia

Abstract

We develop new closed form representations of sums of alternating harmonic numbers of order two and reciprocal binomial coefficients. Moreover we develop new integral representations in terms of harmonic numbers of order two.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 6 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. Generalized hyperharmonic number sums with reciprocal binomial coefficients;Mathematica Slovaca;2022-10-01

2. Integrals of polylogarithms and infinite series involving generalized harmonic numbers;Integral Transforms and Special Functions;2021-12-16

3. Generalized alternating hyperharmonic number sums with reciprocal binomial coefficients;Journal of Mathematical Analysis and Applications;2021-12

4. Parametric binomial sums involving harmonic numbers;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-03-26

5. The Basel Problem with an Extension;Mathematical Analysis and Applications;2018-04-10

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