Results 11 to 20 of about 34,757 (249)
On a class of polynomials connected to Bell polynomials
, 2018 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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Some Identities of Degenerate Bell Polynomials [PDF]
Mathematics, 2020 The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim +3 more
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New Properties on Degenerate Bell Polynomials [PDF]
Complexity, 2021 The aim of this paper is to study the degenerate Bell numbers and polynomials which are degenerate versions of the Bell numbers and polynomials. We derive some new identities and properties of those numbers and polynomials that are associated with the ...
Taekyun Kim +4 more
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New identities for the partial Bell polynomials
Applied Mathematics Letters, 2011 5 pages ...
Djurdje Cvijović
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Boletim da Sociedade Paranaense de Matemática, 2020 In the paper, by virtue of the Fa\'a di Bruno formula and identities for the Bell polynomials of the second kind, the author simplifies coefficients in a family of ordinary differential equations related to generating functions of reverse Bessel and ...
Feng Qi
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On degenerate central complete Bell polynomials
Applicable Analysis and Discrete Mathematics, 2019 In this paper, we consider of generalized central complete and incomplete Bell polynomials called degenerate central complete and incomplete Bell polynomials. These polynomials are generalizations of the recently introduced central complete Bell polynomials and `degenerate' analogues for the central complete and incomplete Bell polynomials.
Taekyun Kim, Dae San Kim, Gwan-Woo Jang
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On Generalized Bell Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2011 It is shown that the sequence of the generalized Bell polynomials Sn(x) is convex under some restrictions of the parameters involved. A kind of recurrence relation for Sn(x) is established, and some numbers related to the generalized Bell numbers and ...
Roberto B. Corcino, Cristina B. Corcino
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Bell polynomials in combinatorial Hopf algebras
, 2014 Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities, etc.
Ammar Aboud +4 more
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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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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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