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Some identities on generalized harmonic numbers and generalized harmonic functions
Demonstratio Mathematica, 2023 The harmonic numbers and generalized harmonic numbers appear frequently in many diverse areas such as combinatorial problems, many expressions involving special functions in analytic number theory, and analysis of algorithms.
Kim Dae San, Kim Hyekyung, Kim Taekyun
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Theoretical and experimental study into laser-induced gold nanoparticles for superior surface-enhanced raman spectroscopy applications [PDF]
Scientific ReportsThis study presents a comprehensive theoretical and experimental investigation into the fabrication of three-dimensional gold nanostructures with tailored optical properties using a laser-induced method, aimed at enhancing applications based on localized
Nader Javanmard +2 more
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On sums with generalized harmonic numbers via Euler's transform [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we define the generalized hyperharmonic numbers of order r, Hₙʳ(σ) and get some identities involving these numbers by using Euler's transform.
Neşe Ömür +2 more
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On generalized hyperharmonic numbers of order r, Hʳₙ,ₘ(σ) [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we define generalized hyperharmonic numbers of order r, Hₙₘʳ(σ), for m∈ℤ⁺ and give some applications by using generating functions of these numbers.
Sibel Koparal +2 more
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Lerch-harmonic numbers related to Lerch transcendent
Mathematical and Computer Modelling of Dynamical Systems, 2023 Harmonic numbers and generalized harmonic numbers have been studied in connection with combinatorial problems, many expressions involving special functions in analytic number theory and analysis of algorithms.
Taekyun Kim +3 more
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Some Identities with Special Numbers
Cumhuriyet Science Journal, 2022 In this paper, we derive new identities which are related to some special numbers and generalized harmonic numbers H_n (α) by using the argument of the generating function given in [3] and comparing the coefficients of the generating functions.
Sibel Koparal +2 more
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Euler-type sums involving multiple harmonic sums and binomial coefficients
Open Mathematics, 2021 In this paper, we mainly show that generalized Euler-type sums of multiple harmonic sums with reciprocal binomial coefficients can be expressed in terms of rational linear combinations of products of classical multiple zeta values (MZVs) and multiple ...
Si Xin
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Axioms, 2022 In this paper, we focus on the higher-order derivatives of the hyperharmonic polynomials, which are a generalization of the ordinary harmonic numbers. We determine the hyperharmonic polynomials and their successive derivatives in terms of the r-Stirling ...
José L. Cereceda
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Multifold bunch splitting in a high-intensity medium-energy proton synchrotron
Results in Physics, 2022 Bunch splitting is an RF manipulation method of changing the bunch structure, bunch numbers and bunch intensity in a high-intensity synchrotron that serve as the injector for a particle collider.
Linhao Zhang, Min Chen, Jingyu Tang
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Energies, 2021 The usage of multiphase electrical drives expands the operation possibilities of electrical machines and opens new directions of research on inverter-fed electrical machines.
Jan Laksar, Radek Cermak, Karel Hruska
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