Results 21 to 30 of about 111 (99)
On the diaphony of one class of one‐dimensional sequences
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 115-124, 1996., 1992 In the present paper, we consider a problem of distribution of sequences in the interval [0, 1), the so‐called ′Pr‐sequences′ We obtain the best possible order O(N−1(logN)1/2) for the diaphony of such Pr‐sequences. For the symmetric sequences obtained by symmetrization of Pr‐sequences, we get also the best possible order O(N−1(logN)1/2) of the ...
Vassil St. Grozdanov
wiley +1 more source
Some identities related to degenerate Stirling numbers of the second kind
Demonstratio Mathematica, 2022 The degenerate Stirling numbers of the second kind were introduced as a degenerate version of the ordinary Stirling numbers of the second kind. They appear very frequently when one studies various degenerate versions of some special numbers and ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
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Compositions of positive integers with 2s and 3s
Demonstratio Mathematica, 2023 In this article, we consider compositions of positive integers with 2s and 3s. We see that these compositions lead us to results that involve Padovan numbers, and we give some tiling models of these compositions.
Dişkaya Orhan, Menken Hamza
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Differential equations associated with generalized Bell polynomials and their zeros
Open Mathematics, 2016 In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials.
Ryoo Seoung Cheon
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Representations by degenerate Daehee polynomials
Open Mathematics, 2022 In this paper, we consider the problem of representing any polynomial in terms of the degenerate Daehee polynomials and more generally of the higher-order degenerate Daehee polynomials.
Kim Taekyun +3 more
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Formal inverses of the generalized Thue-Morse sequences and variations of the Rudin-Shapiro sequence [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 A formal inverse of a given automatic sequence (the sequence of coefficients of the composition inverse of its associated formal power series) is also automatic.
Łukasz Merta
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Polynomials related to harmonic numbers and evaluation of harmonic number series II
, 2010 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 ...
Veli Kurt, Ayhan Dil
core +1 more source
The group inverse of circulant matrices depending on four parameters
Special Matrices, 2021 Explicit expressions for the coefficients of the group inverse of a circulant matrix depending on four complex parameters are analytically derived. The computation of the entries of the group inverse are now reduced to the evaluation of a polynomial ...
Carmona A. +3 more
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Some recurrence formulas for the Hermite polynomials and their squares
Open Mathematics, 2018 In this paper, by making use of the generating function methods and Padé approximation techniques, we establish some new recurrence formulas for the Hermite polynomials and their squares.
He Yuan, Yang Fengzao
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The dual of number sequences, Riordan polynomials, and Sheffer polynomials
Special Matrices, 2021 In this paper we introduce different families of numerical and polynomial sequences by using Riordan pseudo involutions and Sheffer polynomial sequences.
He Tian-Xiao, Ramírez José L.
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