Results 11 to 20 of about 106,566 (267)

On the denominators of harmonic numbers, III [PDF]

open access: yesPeriodica Mathematica Hungarica, 2022
Let ℒ be the set of all positive integers n such that the denominator of 1
Wu, Bing-Ling, Yan, Xiao-Hui
openaire   +3 more sources

Unitary Harmonic Numbers [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
If d ∗
Hagis, Peter jun., Lord, Graham
openaire   +1 more source

Polynomials related to harmonic numbers and evaluation of harmonic number series II [PDF]

open access: yesApplicable Analysis and Discrete Mathematics, 2011
In this paper we focus on r-geometric polynomials, r-exponential polynomials and their harmonic versions. It is shown that harmonic versions of these polynomials and their generalizations are useful to obtain closed forms of some series related to harmonic numbers. 2000 Mathematics Subject Classification. 11B73, 11B75, 11B83.
Ayhan Dil, Veli Kurt
openaire   +5 more sources

On the harmonic and hyperharmonic Fibonacci numbers [PDF]

open access: yesAdvances in Difference Equations, 2015
In this paper, we study the theory of the harmonic and the hyperharmonic Fibonacci numbers. Also, we get some combinatoric identities like as harmonic and hyperharmonic numbers and we obtain some useful formulas for $\mathbb{F}_{n}$, which is finite sums of reciprocals of Fibonacci numbers.
KESİM, SEYHUN   +2 more
openaire   +4 more sources

Umbral Methods and Harmonic Numbers

open access: yesAxioms, 2018
The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Dattoli G.   +3 more
openaire   +8 more sources

Harmonic numbers and finite groups [PDF]

open access: yesRendiconti del Seminario Matematico della Università di Padova, 2014
Given a finite group G , let {\tau} (G) be the number of normal subgroups of G ...
Baishya, Sekhar Jyoti, Das, Ashish Kumar
openaire   +1 more source

Sharp bounds for harmonic numbers [PDF]

open access: yesApplied Mathematics and Computation, 2011
7 ...
Bai-Ni Guo, Feng Qi 0001
openaire   +2 more sources

On some series involving harmonic and skew-harmonic numbers

open access: yesJournal of Classical Analysis, 2023
In this paper, we evaluate in closed form several different series involving the harmonic numbers and skew-harmonic numbers. We consider two classes of series involving these sequences. One class of series involves the product of the $n$th harmonic or skew-harmonic number and a tail.
openaire   +2 more sources

On Spieß’s conjecture on harmonic numbers

open access: yesDiscrete Applied Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai-Tao Jin, Lisa Hui Sun
openaire   +2 more sources

Some summation formulas involving harmonic numbers and generalized harmonic numbers

open access: yesMathematical and Computer Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junesang Choi, H. M. Srivastava 0001
openaire   +1 more source

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