Results 1 to 10 of about 10,640,447 (355)
New Harmonic Number Series [PDF]
AppliedMathBased on a recent representation of the psi function due to Guillera and Sondow and independently Boyadzhiev, new closed forms for various series involving harmonic numbers and inverse factorials are derived.
Kunle Adegoke, Robert Frontczak
doaj +4 more sources
Polynomials related to harmonic numbers and evaluation of harmonic number series II [PDF]
Applicable Analysis and Discrete Mathematics, 2011 In this paper we focus on two new families of polynomials which are connected with exponential polynomials and geometric polynomials. We discuss their generalizations and show that these new families of polynomials and their generalizations are useful to
Ayhan Dil, Veli Kurt
core +8 more sources
rf acceleration with harmonic number jump [PDF]
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
doaj +2 more sources
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
doaj +2 more sources
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
openalex +3 more sources
Some results on q-harmonic number sums [PDF]
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 +2 more sources
The harmonic index for trees with given domination number [PDF]
Discrete Mathematics Letters, 2021 Xipeng Hu, Lingping Zhong
doaj +2 more sources
Series of Convergence Rate −1/4 Containing Harmonic Numbers
Axioms, 2023 Two general transformations for hypergeometric series are examined by means of the coefficient extraction method. Several interesting closed formulae are shown for infinite series containing harmonic numbers and binomial/multinomial coefficients.
Chunli Li, Wenchang Chu
doaj +1 more source
Infinite series about harmonic numbers inspired by Ramanujan–like formulae
Electronic Research Archive, 2023 By employing the coefficient extraction method from hypergeometric series, we shall establish numerous closed form evaluations for infinite series containing central binomial coefficients and harmonic numbers, including several conjectured ones made by Z.
Chunli Li, Wenchang Chu
doaj +1 more source