Results 31 to 40 of about 1,005 (113)
A reciprocal sum related to the Riemann ζ-function
, 2017 This paper, we using the elementary method and several new inequalities to study the computational problem of one kind reciprocal sums related to the Riemann zeta-function at the point s = 4 , and give an explicit computational formula for it ...
Lin Xin, L. Xiaoxue
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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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Determinants of the RSFPLR Circulant Matrices with the Jacobsthal Numbers
, 2020 In this paper, we study a special type of circulant matrices involving the Jacobsthal and Jacobsthal-Lucas numbers. We mainly calculate the determinant of these matrices using inverse factorization of polynomials. 2010 Mathematics Subject Classification:
Xi-you Cui, N. Jiang
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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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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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On sequences without geometric progressions
, 2013 An improved upper bound is obtained for the density of sequences of positive integers that contain no k-term geometric progression.Comment: 4 pages; minor ...
Nathanson, Melvyn B., O'Bryant, Kevin
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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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Barker sequences of odd length [PDF]
, 2015 A Barker sequence is a binary sequence for which all nontrivial aperiodic autocorrelations are at most 1 in magnitude. An old conjecture due to Turyn asserts that there is no Barker sequence of length greater than 13.
Schmidt, Kai-Uwe, Willms, Jürgen
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Fully degenerate Bell polynomials associated with degenerate Poisson random variables
Open Mathematics, 2021 Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al.
Kim Hye Kyung
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