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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 properties of degenerate complete and partial Bell polynomials [PDF]
Advances in Difference Equations, 2021 In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are ...
Taekyun Kim +4 more
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Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras [PDF]
, 2014 Bell polynomials appear in several combinatorial constructions throughout mathematics. Perhaps most naturally in the combinatorics of set partitions, but also when studying compositions of diffeomorphisms on vector spaces and manifolds, and in the study ...
Kurusch Ebrahimi‐Fard +2 more
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Some identities on truncated polynomials associated with Lah-Bell polynomials [PDF]
Applied Mathematics in Science and Engineering, 2023 Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also introduce
Lingling Luo +3 more
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Bell-Based Bernoulli Polynomials with Applications [PDF]
Axioms, 2021 In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind.
Ugur Duran, Serkan Araci, Mehmet Acikgoz
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A family of trivariate Gould-Hopper-Bell-Apostol-Type polynomials: Construction and properties
AIMS MathematicsIn this study, we define and investigate a new hybrid family of special polynomials, named the trivariate Gould-Hopper-Bell-Apostol-type polynomials.
Rabeb Sidaoui +6 more
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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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A new approach to Bell and poly-Bell numbers and polynomials
AIMS Mathematics, 2022 Bell polynomials are widely applied in many problems arising from physics and engineering. The aim of this paper is to introduce new types of special polynomials and numbers, namely Bell polynomials and numbers of the second kind and poly-Bell ...
Taekyun Kim +4 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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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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