Results 141 to 150 of about 98,048 (175)

Certain summation formulas involving harmonic numbers and generalized harmonic numbers

Applied Mathematics and Computation, 2011
New identities about certain finite or infinite series involving harmonic numbers and generalized harmonic numbers are established.
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Summation of Harmonic Numbers

1989
The problem of finding closed forms for a summation involving harmonic numbers is considered. Solutions for ∑ i n =1P(i)H i (k) , where p(i) is a polynomial, and ∑ i n =1 Hi/(i+m), where m is an integer, are given. A method to automate these results is presented.
Dominic Y. Savio, Edmund A. Lamagna, Shing-Min Liu   +2 more
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Some Results for Generalized Harmonic Numbers

Integers, 2009
AbstractIn this paper, we discuss the properties of a class of generalized harmonic ...
Feng, Congjiao, Zhao, Fengzhen
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On the Ramanujan Harmonic Number Expansion

Results in Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ramanujan’s formula for the harmonic number

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinite Series Containing Generalized Harmonic Numbers

Results in Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinite Series involving skew harmonic numbers

Bulletin of the Belgian Mathematical Society - Simon Stevin
There exist many infinite series identities involving harmonic \( H_{n}=\sum_{k=1}^{n}\frac{1}{k}\) and skew-harmonic numbers \( O_{n}=\sum_{k=1}^{n}\frac{1}{2k-1}\) in the literature. In the study [\textit{X. Wang} and \textit{W. Chu}, Rocky Mt. J. Math. 52, No.
Li, Chunli, Chu, Wenchang
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Infinite Series Identities on Harmonic Numbers

Results in Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On q-Congruences Involving Harmonic Numbers

Ukrainian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quadratic harmonic number sums

2012
After having recalled the sums involving harmonic numbers \(H_n =\sum_{j=1}^n j^{-1}\) (studied, e.g., by \textit{M. Hassani} [Int. J. Math. Combin. 2, 78--86 (2008; Zbl 1188.65002)] and by \textit{A. Sofo} [J. Appl. Anal. 16, No. 2, 265--277 (2010; Zbl 1276.11028)]), the authors clarify that their main result consists of new identities for the series \
Sofo, Anthony, Hassani, Mehdi
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