Results 1 to 10 of about 95 (80)
Identities between harmonic, hyperharmonic and Daehee numbers. [PDF]
J Inequal Appl, 2018 In this paper, we present some identities relating the hyperharmonic, the Daehee and the derangement numbers, and we derive some nonlinear differential equations from the generating function of a hyperharmonic number.
Rim SH, Kim T, Pyo SS.
europepmc +5 more sources
Smart Spider Monkey Optimization (SSMO) for Energy-Based Cluster-Head Selection Adapted for Biomedical Engineering Applications. [PDF]
Contrast Media Mol Imaging, 2022 Using energy efficiency to increase the life and sustainability of wireless sensor networks (WSNs) for biomedical applications is still a challenge. Clustering has boosted energy productivity by allowing cluster heads to be categorized, but its implementation is still a challenge.
Ajay P, Nagaraj B, Jaya J.
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Open Mathematics, 2023 Hyperharmonic numbers were introduced by Conway and Guy (The Book of Numbers, Copernicus, New York, 1996), whereas harmonic numbers have been studied since antiquity.
Taekyun Kim, Hye Kyung Kim, Dae San Kim
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Harmonic number identities via polynomials with r-Lah coefficients
Comptes Rendus. Mathématique, 2020 In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers.
Kargın, Levent, Can, Mümün
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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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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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Dirichlet series and series with Stirling numbers
Cubo, 2023 This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers ...
Khristo Boyadzhiev
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Some Results on Harmonic Type Sums
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2020 In this study, we consider the summatory function of convolutions of theMöbius function with harmonic numbers, and we show that these summatoryfunctions are linked to the distribution of prime numbers.
Haydar Göral, Doğa Can Sertbaş
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q-Analogs of
Mathematics, 2023 In this paper, inspired by recent works, we define q-analogs of Hn,mσ and Hn,mrσ. By implementing them, we obtain new interesting results by taking the derivative or using generating functions.
Hao Guan +3 more
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