Results 21 to 30 of about 1,461 (202)
Laguerre-type Bell polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite ...
P. Natalini, P. E. Ricci
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Some Inequalities of the Bell Polynomials [PDF]
, 2017 In the paper, the author (1) presents an explicit formula and its inversion formula for higher order derivatives of generating functions of the Bell polynomials, with the help of the Faà di Bruno formula, properties of the Bell polynomials of the second kind, and the inversion theorem for the Stirling numbers of the first and second kinds ...
Feng Qi
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On a class of polynomials connected to Bell polynomials [PDF]
, 2022 In this paper, we study a class of sequences of polynomials linked to the sequence of Bell polynomials. Some sequences of this class have applications on the theory of hyperbolic differential equations and other sequences generalize Laguerre polynomials and associated Lah polynomials.
Miloud Mihoubi, Madjid Sahari
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The 2-successive partial Bell polynomials [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we discuss a new class of partial Bell polynomials. The first section gives an overview of partial Bell polynomials and their related 2-successive Stirling numbers.
Meriem Tiachachat, Miloud Mihoubi
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Poly-central factorial sequences and poly-central-Bell polynomials
Advances in Difference Equations, 2021 In this paper, we introduce poly-central factorial sequences and poly-central Bell polynomials arising from the polyexponential functions, reducing them to central factorials and central Bell polynomials of the second kind respectively when k = 1 $k = 1$
Hye Kyung Kim, Taekyun Kim
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On poly-Bell numbers and polynomials [PDF]
Quaestiones Mathematicae, 2020 This paper aims to construct a new family of numbers and polynomials which are related to the Bell numbers and polynomials by means of the confluent hypergeometric function. We give various properties of these numbers and polynomials (generating functions, explicit formulas, integral representations, recurrence relations, probabilistic representation,..
Mourad Rahmani +3 more
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Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials
Open Mathematics, 2021 The aim of this paper is to study the Poisson random variables in relation to the Lah-Bell polynomials and the degenerate binomial and degenerate Poisson random variables in connection with the degenerate Lah-Bell polynomials. Among other things, we show
Kim Taekyun +3 more
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Some identities of Lah–Bell polynomials
Advances in Difference Equations, 2020 Recently, the nth Lah–Bell number was defined as the number of ways a set of n elements can be partitioned into nonempty linearly ordered subsets for any nonnegative integer n.
Yuankui Ma +4 more
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An extension of the bell polynomials
Computers & Mathematics with Applications, 2004 The authors introduce an extension of Bell polynomials, also called ``partition polynomials''. For a given integer \(M\) they define a generalized Bell polynomial \(Y_n^{[M-1]}\) as representing the \(n\)th derivative of the composite function \(\Phi(t) := f_{(1)}(f_{(2)}(\cdots(f_{(M)}(t))))\), where the functions \(f_{(M)}\), \dots, \(f_{(2)}\), \(f_{
NATALINI P., RICCI, Paolo Emilio
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New identities for the partial Bell polynomials [PDF]
Applied Mathematics Letters, 2011 5 pages ...
Djurdje Cvijović
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