Results 31 to 40 of about 1,461 (202)
The partial r-Bell polynomials [PDF]
Afrika Matematika, 2017 In this paper, we show that the r-Stirling numbers of both kinds, the r-Whitney numbers of both kinds, the r-Lah numbers and the r-Whitney-Lah numbers form particular cases of family of polynomials forming a generalization of the partial Bell polynomials. We deduce the generating functions of several restrictions of these numbers.
Miloud Mihoubi, Mourad Rahmani
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A Special Class of Bell Polynomials [PDF]
Mathematics of Computation, 1980 We examine the integersV(n,k)V(n,k)defined by means of\[k!∑n=0∞V(n,k)xn/n!=[x(ex+1)−2(ex−1)]k,k!\sum \limits _{n = 0}^\infty {V(n,k){x^n}/n! = {{[x({e^x} + 1) - 2({e^x} - 1)]}^k},}\]and, in particular, we show how these integers are related to the Bernoulli, Genocchi and van der Pol numbers, and the numbers generated by the reciprocal ofex−x−1{e^x} - x
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On new identities for Bell's polynomials
Discrete Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sadek Bouroubi, Moncef Abbas
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On the numerical solution of optimal control problems via Bell polynomials basis [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We present a new numerical approach to solve the optimal control problems (OCPs) with a quadratic performance index. Our method is based on the Bell polynomials basis. The properties of Bell polynomials are explained.
M.R. Dadashi +3 more
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Degenerate r-Bell Polynomials Arising from Degenerate Normal Ordering
Journal of Mathematics, 2022 Recently, Kim-Kim introduced the degenerate r-Bell polynomials and investigated some results which are derived from umbral calculus. The aim of this paper is to study some properties of the degenerate r-Bell polynomials and numbers via boson operators ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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Polynomials with real zeros via special polynomials
Comptes Rendus. Mathématique, 2021 In this paper, we use particular polynomials to establish some results on the real rootedness of polynomials. The considered polynomials are Bell polynomials and Hermite polynomials.
Mihoubi, Miloud, Taharbouchet, Said
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On Generalized Class of Bell Polynomials Associated with Geometric Applications
AxiomsIn this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi +2 more
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A new family of Apostol–Genocchi polynomials associated with their certain identities
Applied Mathematics in Science and Engineering, 2023 In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such ...
Nabiullah Khan +3 more
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Matrices related to the Bell polynomials
Linear Algebra and its Applications, 2007 AbstractIn this paper, we study the matrices related to the partial exponential Bell polynomials and those related to the Bell polynomials with respect to Ω. As a result, the factorizations of these matrices are obtained, which give unified approaches to the factorizations of many lower triangular matrices.
Weiping Wang +2 more
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