Summation Formulas Involving Binomial Coefficients, Harmonic Numbers, and Generalized Harmonic Numbers [PDF]
Abstract and Applied Analysis, 2014 A variety of identities involving harmonic numbers and generalized harmonic numbers have been investigated since the distant past and involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of ...
Junesang Choi
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Some Sums Involving Generalized Harmonic and r-Derangement Numbers
Cumhuriyet Science JournalIn this paper, we derive some sums involving generalized harmonic and r-derangement numbers by using generating functions of these numbers and some combinatorial identities. The relationship between Daehee numbers and generalized harmonic numbers of rank
Sibel Koparal
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On identities involving generalized harmonic, hyperharmonic and special numbers with Riordan arrays
Special Matrices, 2021 In this paper, by means of the summation property to the Riordan array, we derive some identities involving generalized harmonic, hyperharmonic and special numbers.
Koparal Sibel, Ömür Neşe, Duran Ömer
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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
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Demographic Research, 2021 Background: Understanding the relationship between populations at different scales plays an importantrole in many demographic analyses. Objective: We show that when a population can be partitioned into subgroups, the death rate forthe entire ...
Dennis Feehan, Elizabeth Wrigley-Field
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Phi-Bonacci Butterfly Stroke Numbers to Assess Self-Similarity in Elite Swimmers
Mathematics, 2021 A harmonically self-similar temporal partition, which turns out to be subtly exhibited by elite swimmers at middle distance pace, is formally defined for one of the most technically advanced swimming strokes—the butterfly.
Cristiano Maria Verrelli +5 more
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A Type of Mean Values of Several Positive Numbers with Two Parameters [PDF]
, 2006 In this article, a type of mean values of several positive numbers with two parameters are defined by using the generalized Vandermonde determinant, some basic properties of them are given, and several inequalities for some mean values including the ...
Zhang, Zhi-Hua +2 more
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On q-generalized hyperharmonic numbers with two parameters [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce q-generalized harmonic numbers with two parameters ω and ξ, H_{μ,λ,q}(ω,ξ) for integers μ, λ such that λ ≥ μ. With the help of these numbers, we define a new family of numbers which is called q-generalized hyperharmonic ...
Neşe Ömür, Sibel Koparal, Ömer Duran
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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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Ternary SU(3)-group symmetry and its possible applications in hadron-quark substructure. Towards a new spinor-fermion structure [PDF]
EPJ Web of Conferences, 2019 The questions on the existence of the three color quark symmetry and three quark-lepton generations could have the origin associated with the new exotic symmetries outside the Cartan-Killing-Lie algebras/groups.
Maslikov Alexander, Volkov Guennady
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