Results 31 to 40 of about 95 (80)
Combinatorial Identities with Multiple Harmonic-like Numbers
AppliedMathMultiple harmonic-like numbers are studied using the generating function approach. A closed form is stated for binomial sums involving these numbers and two additional parameters.
Kunle Adegoke, Robert Frontczak
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Generalized Hyperharmonic Number Sums With Reciprocal Binomial Coefficients
Mathematica Slovaca, 2021 In this paper, we mainly show that generalized hyperharmonic number sums with reciprocal binomial coefficients can be expressed in terms of classical (alternating) Euler sums, zeta values and generalized (alternating) harmonic numbers.
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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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Almost all hyperharmonic numbers are not integers
Journal of Number Theory, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goral, Haydar, Sertbas, Doga Can
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AxiomsIn this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
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The Monotonicity of Some Sequences Related to Hyperharmonic Numbers
Integers, 2017 See the abstract in the attached pdf.
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Identities involving degenerate stirling numbers of the second kind
Mathematical and Computer Modelling of Dynamical SystemsBuilding on Carlitz’s foundational work with degenerate Euler and Bernoulli polynomials, recent research has introduced and studied various degenerate special numbers and polynomials.
Taekyun Kim +3 more
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Generalizations of the Euler-Mascheroni constant associated with the hyperharmonic numbers
, 2021 In this paper, we present two new generalizations of the Euler-Mascheroni constant arising from the Dirichlet series associated to the hyperharmonic numbers. We also give some inequalities related to upper and lower estimates, and evaluation formulas.
Can, Mümün +4 more
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An application of hyperharmonic numbers in matrices
, 2013 In this study, firstly we defined an n × k matrix, G (r) n,k, whose entries consist of hyperharmonic numbers. Then we obtained relation between Pascal matrices and G r n,k. Finally we calculated the determinant of G r n,n.
BAHŞİ, Mustafa, SOLAK, Süleyman
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On the norms of r-circulant matrices with the hyperharmonic numbers [PDF]
Journal of Mathematical Inequalities, 2016 In this paper, we study norms of circulant matrices H = Circ(H-0((k)), H-1((k)), ..., H-n-1((k))), H = Circ(H-k((0)), H-k((1)), ..., H-k((n-1))) and r-circulant matrices H-r = Circ(H-0((k)), H-1((k)), ..., H-n-1((k))), H = Circ(H-k((0)), H-k((1)), ..., H-k((n-1))), where H-n((k)) denotes the nth hyperharmonic number of order r.
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