Results 31 to 40 of about 120,275 (213)
Some results on q-harmonic number sums
Advances in Difference Equations, 2018 In this paper, we establish some relations involving q-Euler type sums, q-harmonic numbers and q-polylogarithms. Then, using the relations obtained with the help of q-analog of partial fraction decomposition formula, we develop new closed form ...
Xin Si
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Journal of Applied Sciences and Environmental Management, 2023 A study on transient free convection flow of a dusty viscous fluid through a porous medium is important for improving the existing industrial processes and for developing new chemical and geothermal systems.
O. R. Jimoh, I. Ibrahim
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Approximations of the Harmonic Numbers
Results in MathematicsAbstract The aim of this paper is to present some approximations on the harmonic numbers. Some associated asymptotic series are constructed.
Chao-Ping Chen, Cristinel Mortici
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ERDOS-SMARANDACHE MOMENTS NUMBERS [PDF]
, 1999 The starting point of this article is represented by a recent work of Finch [2000]. Based on two asymptotic results concerning the Erdos function, he proposed some interesting equation concerning the moments of the Smarandache function.
Tabirca, Sabin
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Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]
Notes on Number Theory and Discrete MathematicsWe find various series that involve the central binomial coefficients $binom{2n}{n}$, harmonic numbers and Fibonacci numbers. Contrary to the traditional hypergeometric function _pF_q approach, our method utilizes a straightforward transformation to ...
Segun Olofin Akerele +1 more
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IEEE Access, 2022 In modern power systems, harmonics are amongst the significant issues attributed to renewable energy sources and nonlinear loads. Direct harmonic monitoring of the entire power system may be too costly or impractical, and measured data could be limited ...
Ahmadreza Eslami +3 more
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Harmonic graphs with small number of cycles [PDF]
, 2003 Let G be a graph on n vertices v1,v2,…,vn and let d(vi) be the degree (= number of first neighbors) of the vertex vi. If (d(v1),d(v2),…,d(vn))t is an eigenvector of the (0,1)-adjacency matrix of G, then G is said to be harmonic.
Grünewald, Stefan +3 more
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AppliedMathTwo classes of series involving differences of harmonic numbers and the binomial coefficients C(3n,n) are evaluated in closed form. The classes under consideration are ∑k=0∞H3k+1−Hk(3k+1)3kkkmzkand∑k=0∞H2k−Hk(3k+1)3kkkmzk, where z is a complex number and
Kunle Adegoke, Robert Frontczak
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Evaluation of the real parts of polylogarithm expressions containing complex arguments via certain logarithmic integrals [PDF]
Notes on Number Theory and Discrete MathematicsWe consider a polylogarithm expression containing complex arguments, namely 𝓟±(n)=ℜ(Liₙ((1±i)/2)). The central notion of the present paper is to evaluate the real parts of 𝓟±(n) for first four orders, specifically n = 1,2,3, and 4, by constructing ...
Narendra Bhandari
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Linear non-normal energy amplification of harmonic and stochastic forcing in turbulent channel flow [PDF]
, 2010 The linear response to stochastic and optimal harmonic forcing of small coherent perturbations to the turbulent channel mean flow is computed for Reynolds numbers ranging from Re_tau=500 to Re_tau=20000.
Hwang, Yongyun +3 more
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