Results 71 to 80 of about 98,048 (175)
Families of skew linear harmonic Euler sums involving some parameters
CuboIn this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral.
Anthony Sofo
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Modulo $p^2$ congruences involving harmonic numbers
Annales Polonici Mathematici, 2018 The harmonic number $H_k=\sum_{j=1}^k1/j(k=1,2,3\cdots)$ play an important role in mathematics. Let $p>3$ be a prime. In this paper, we establish a number of congruences with the form $\sum_{k=1}^{p-1}k^mH_k^n(\mod p^2)$ for $m=1,2\cdots,p-2$ and $n=1,2,3$.
Wang, Yunpeng, Yang, Jizhen
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Some identities associated with degenerate harmonic and hyperharmonic numbers
Mathematical and Computer Modelling of Dynamical SystemsThe study of degenerate versions of special polynomials and numbers has seen significant progress in recent years. In this paper, we establish several identities involving degenerate harmonic and hyperharmonic numbers, which are degenerate versions of ...
Qixiang Wang +4 more
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A NEW STRUCTURE OF FIVE-LEVEL DIODE CLAMPED INVERTER WITH REDUCING ITS ELEMENTS
Mağallaẗ Al-kūfaẗ Al-handasiyyaẗ, 2018 At the high power switching circuit's applications, when the harmonic distortion is harmful, a multi-level diode clamped inverter is useful, especially when reduced total harmonic distortion and high power are desired.
Othman M. Anssari
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Ramanujan's Harmonic Number Expansion
, 2005 7 pages. Acknowledgements added. Many typos corrected.
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The harmonic index for trees with given domination number [PDF]
Discrete Mathematics Letters, 2021 Xipeng Hu, Lingping Zhong
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SOME IDENTITIES FOR GENERALIZED HARMONIC NUMBERS
Matematički VesnikFor a positive real \(\alpha\) and a natural number \(n\), the generalized harmonic numbers are defined as \(H_0(\alpha)=0\) and for \(n\geq 1\), \(H_n(\alpha)= \sum_{i=1}^n \frac{1}{i\alpha^i}\). For \(r < 0\) or \(n \leq 0\), the hyperharmonic number of rank \(r\), \(H^r_n(\alpha)\) is defined as 0, \(H^0_n(\alpha)\) is defined as \(\frac{1}{n\alpha ...
KOPARAL, SİBEL +2 more
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IEEE AccessIn modern power systems, the prevalence of harmonic distortion mandates robust monitoring. Harmonic monitoring faces formidable challenges due to significant uncertainties in measurements, network parameters, and the varying nature of harmonic sources ...
Ahmadreza Eslami +3 more
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The Harmonic Pitching NACA 0018 Airfoil in Low Reynolds Number Flow
EnergiesThis study investigates the aerodynamic performance of a symmetric NACA 0018 airfoil under harmonic pitching motions at low Reynolds numbers, a regime characterized by the presence of laminar separation bubbles and their impact on aerodynamic forces. The
Jan Michna +2 more
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Physical Review Special Topics. Accelerators and Beams, 2006 Recent theoretical and experimental studies have shown that the self-amplified spontaneous emission free-electron laser (SASE FEL) with a planar undulator holds a potential for generation of relatively strong coherent radiation at the third harmonic of ...
E. L. Saldin +2 more
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