Results 41 to 50 of about 706 (88)
Fourier series of functions involving higher-order ordered Bell polynomials
Open Mathematics, 2017 In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun +3 more
doaj +1 more source
Acta Universitatis Sapientiae: Mathematica, 2016 In the paper, the authors find several identities, including a new recurrence relation for the Stirling numbers of the first kind, involving the falling and rising factorials and the Cauchy, Lah, and Stirling numbers.
Qi Feng, Shi Xiao-Ting, Liu Fang-Fang
doaj +1 more source
Some identities on derangement and degenerate derangement polynomials
, 2017 In combinatorics, a derangement is a permutation that has no fixed points. The number of derangements of an n-element set is called the n-th derangement number.
AM Garsia +14 more
core +1 more source
A new Approach to fully degenerate Bernoulli numbers and polynomials [PDF]
arXiv, 2022 In this paper, we investigate new class of sequences related to fully degenerate Bernoulli numbers and polynomials. From those sequences, we derive some formulae for the degenerate Bernoulli and Euler polynomials.
arxiv
A note on λ-analogue of Lah numbers and λ-analogue of r-Lah numbers
Demonstratio MathematicaIn this study, we introduce the λ\lambda -analogue of Lah numbers and λ\lambda -analogue of rr-Lah numbers in the view of degenerate version, respectively.
Kim Taekyun, Kim Hye Kyung
doaj +1 more source
Investigating Exponential and Geometric Polynomials with Euler-Seidel Algorithm [PDF]
, 2010 In this paper we use Euler-Seidel matrices method to find out some properties of exponential and geometric polynomials and numbers.
Dil, Ayhan, Kurt, Veli
core
Some Properties of a Solution to a Family of Inhomogeneous Linear Ordinary Differential Equations
, 2016 In the paper, the authors present an explicit form for a family of inhomogeneous linear ordinary differential equations, find a more significant expression for all derivatives of a function related to the solution to the family of inhomogeneous linear ...
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar +1 more source
, 2017 In the paper, the author introduces the notions “multi-order logarithmic numbers” and “multi-order logarithmic polynomials”, establishes an explicit formula, an identity, and two recurrence relations by virtue of the Faà di Bruno formula and two ...
Feng Qi (祁锋)
semanticscholar +1 more source
, 2010 The notion of generalized Bell numbers has appeared in several works but there is no systematic treatise on this topic. In this paper we fill this gap. We discuss the most important combinatorial, algebraic and analytic properties of these numbers which ...
Mezo, Istvan
core +1 more source
Hankel determinants of generalized q-exponential polynomials [PDF]
arXiv, 2009 Recently I. Mezo studied a simple but interesting generalization of the exponential polynomials. In this note I consider two q-analogues of these polynomials and compute their Hankel determinants.
arxiv