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On the Ramanujan Harmonic Number Expansion
Results in Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Ramanujan’s formula for the harmonic number
Applied Mathematics and Computation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinite Series Containing Generalized Harmonic Numbers
Results in Mathematics, 2018zbMATH 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 StevinThere 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, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On q-Congruences Involving Harmonic Numbers
Ukrainian Mathematical Journal, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quadratic harmonic number sums
2012After 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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Harmonic Numbers of Any Order and the Wolstenholme’s-Type Relations for Harmonic Numbers
2016The concept of harmonic numbers has appeared permanently in the mathematical science since the very early days of differential and integral calculus. Firsts significant identities concerning the harmonic numbers have been developed by Euler (see Basu, Ramanujan J, 16:7–24, 2008, [1], Borwein and Bradley, Int J Number Theory, 2:65–103, 2006, [2], Sofo ...
Edyta Hetmaniok +5 more
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Combinatorial identities on \(q\)-harmonic numbers
2011Summary: By means of the \(q\)-finite differences and the derivative operator, we derive, from an alternating \(q\)-binomial sum identity with a free variable \(x\), several interesting identities concerning the generalized \(q\)-harmonic numbers.
CHU, Wenchang, YAN Q.
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On the matrices with harmonic numbers
2010In this study, firstly we define nxn matrices P and Q associated with harmonic numbers such that and Q where k Hk is denote kth harmonic number. After we study the spectral norms, Euclidean norms and determinants of these matrices.
BAHSİ, Mustafa, SOLAK, Süleyman
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