Results 51 to 60 of about 949 (143)

The (exponential)

Arab Journal of Mathematical Sciences, 2014
We establish some formulas relating multipartitional polynomials to multinomial polynomials. They appear, respectively, as a natural extension of Bell polynomials and of polynomials of binomial type.
Miloud Mihoubi, Hacène Belbachir
doaj   +1 more source

Recurrence for probabilistic extension of Dowling polynomials

Open Mathematics
Spivey found a remarkable recurrence relation for Bell numbers, which was generalized to that for Bell polynomials by Gould-Quaintance. The aim of this article is to generalize their recurrence relation for Bell polynomials to that for the probabilistic ...
Ma Yuankui, Kim Taekyun, Kim Dae San, Xu Rongrong   +3 more
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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, Kim Dae San, Jang Gwan-Woo, Jang Lee Chae   +3 more
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Probabilistic bivariate Bell polynomials

Quaestiones Mathematicae
10 ...
Kim, Taekyun, Kim, Dae san
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REPRESENTATIONS BY ORDERED BELL AND DEGENERATE ORDERED BELL POLYNOMIALS

Rocky Mountain Journal of Mathematics
20 pages.
Kim, Dae San, Kim, Taekyun
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Solving Bratu equations using Bell polynomials and successive differentiation [PDF]

Iranian Journal of Numerical Analysis and Optimization
This paper uses transformations and recursive algebraic equations to obtain series expansions, utilizing Bell polynomials, to solve the one-dimensional Bratu problem and several Bratu-type equations.
N.A. Gezer
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Generalized Bell polynomials

Journal of Approximation Theory
In this paper, generalized Bell polynomials $(\Be_n^ϕ)_n$ associated to a sequence of real numbers $ϕ=(ϕ_i)_{i=1}^\infty$ are introduced. Bell polynomials correspond to $ϕ_i=0$, $i\ge 1$. We prove that when $ϕ_i\ge 0$, $i\ge 1$: (a) the zeros of the generalized Bell polynomial $\Be_n^ϕ$ are simple, real and non positive; (b) the zeros of $\Be_{n+1}^ϕ ...
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De Moivre and Bell polynomials

Expositiones Mathematicae, 2022
We survey a family of polynomials that are very useful in all kinds of power series manipulations, and appearing more frequently in the literature. Applications to formal power series, generating functions and asymptotic expansions are described, and we discuss the related work of De Moivre, Arbogast and Bell.
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Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

Axioms, 2019
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu, Burcin Simsek, Yilmaz Simsek   +2 more
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General identities on Bell polynomials

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Weiping, Wang, Tianming
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