Results 31 to 40 of about 11,829,477 (307)

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
doaj   +1 more source

Effect of Viscous Energy Dissipation on Transient Laminar Free Convective Flow of a Dusty Viscous Fluid through a Porous Medium

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
doaj   +1 more source

Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]

Notes on Number Theory and Discrete Mathematics
We 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, Olamide Esther Salami   +1 more
doaj   +1 more source

Harmonic Current Estimation of Unmonitored Harmonic Sources With a Novel Oversampling Technique for Limited Datasets

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, Michael Negnevitsky, Evan Franklin, Sarah Lyden   +3 more
doaj   +1 more source

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.
Choi, Junesang, Srivastava, H. M.
openaire   +1 more source

Evaluation of Harmonic Number Series Involving the Binomial Coefficient C(3n,n) in the Denominator by Integration

AppliedMath
Two 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
doaj   +1 more source

Evaluation of the real parts of polylogarithm expressions containing complex arguments via certain logarithmic integrals [PDF]

Notes on Number Theory and Discrete Mathematics
We 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
doaj   +1 more source

Critical number of atoms in an attractive Bose-Einstein condensate on an optical plus harmonic traps

, 2003
The stability of an attractive Bose-Einstein condensate on a joint one-dimensional optical lattice and an axially-symmetric harmonic trap is studied using the numerical solution of the time-dependent mean-field Gross-Pitaevskii equation and the critical ...
Adhikari S K, Anderson M H, Anglin J, Band Y B, Bergé L, Bradley C C, Cataliotti F S, Claussen N R, Dalfovo F, Davis K B, Ensher J R, Fried D G, Giovanazzi S, Houbiers M, Huepe C, Mahmud K W, Orzel C, Ruprecht P A, Sadhan K Adhikari, Smerzi A, Tiecke T G   +20 more
core   +1 more source

Chu–Vandermonde convolution and harmonic number identities [PDF]

, 2012
By applying the derivative operators to Chu–Vandermonde convolution, several general harmonic number identities are established.
Chuanan Wei, Dianxuan Gong, Qin Wang
semanticscholar   +1 more source