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On some series involving harmonic and skew-harmonic numbers
Journal of Classical Analysis, 2023 In this paper, we evaluate in closed form several different series involving the harmonic numbers and skew-harmonic numbers. We consider two classes of series involving these sequences. One class of series involves the product of the $n$th harmonic or skew-harmonic number and a tail.
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On Spieß’s conjecture on harmonic numbers
Discrete Applied Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai-Tao Jin, Lisa Hui Sun
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ON THE CONVERGENCE OF THE ERDOS HARMONIC SERIES [PDF]
, 2003 The purpose of this article is to study the convergence of a few series with the Erdos function.
Tabirca, S., Tabirca, T.
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rf acceleration with harmonic number jump
Physical Review Special Topics. Accelerators and Beams, 2006 We have recently considered acceleration of protons and heavy ions in a fixed-field alternating-gradient accelerator with nonscaling lattice and linear field profile.
Alessandro G. Ruggiero
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Some summation formulas involving harmonic numbers and generalized harmonic numbers
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junesang Choi, H. M. Srivastava 0001
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Certain Hermite–Hadamard Inequalities for Logarithmically Convex Functions with Applications
Mathematics, 2019 In this paper, we discuss various estimates to the right-hand (resp. left-hand) side of the Hermite⁻Hadamard inequality for functions whose absolute values of the second (resp. first) derivatives to positive real powers are log-convex.
Shilpi Jain +3 more
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A classification of the harmonic frames up to unitary equivalence [PDF]
, 2011 Up to unitary equivalence, there are a finite number of tight frames of n vectors for Cd which can be obtained as the orbit of a single vector under the unitary action of an abelian group G (for nonabelian groups there may be uncountably many).
Waldron, Shayne, Chien, T-Y
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Wave-number-explicit bounds in time-harmonic scattering [PDF]
, 2008 In this paper we consider the problem of scattering of time-harmonic acoustic waves by a bounded sound soft obstacle in two and three dimensions, studying dependence on the wave number in two classical formulations of this problem.
Chandler-Wilde, S.N. +3 more
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