Results 21 to 30 of about 1,693 (108)
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 857-863, 2000., 2000 We show that in the set Ω=ℝ+×(1,+∞)⊂ℝ+2, endowed with the usual Lebesgue measure, for almost all (h, λ) ∈ Ω the limit limn→+∞(1/n)ln|h(λn−λ−n)mod[-12,12)| exists and is equal to zero. The result is related to a characterization of relaxation to equilibrium in mixing automorphisms of the two‐torus.
Stefano Siboni
wiley +1 more source
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
An explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind [PDF]
, 2014 In the paper, the author finds an explicit formula for computing Bernoulli numbers of the second kind in terms of Stirling numbers of the first kind.Comment: 5 ...
Qi, Feng
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
doaj +1 more source
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.
doaj +1 more source
Moment sequences, transformations, and Spidernet graphs [PDF]
arXiv, 2023 We use the link between Jacobi continued fractions and the generating functions of certain moment sequences to study some simple transformations on them. In particular, we define and study a transformation that is appropriate for the study of spidernet graphs and their moments, and the free Meixner law.
arxiv
On stronger conjectures that imply the Erd\"os-Moser conjecture [PDF]
, 2011 The Erd\"os-Moser conjecture states that the Diophantine equation $S_k(m) = m^k$, where $S_k(m)=1^k+2^k+...+(m-1)^k$, has no solution for positive integers $k$ and $m$ with $k \geq 2$.
B.C. Kellner +7 more
core +2 more sources
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
doaj +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
doaj +1 more source
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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