Results 1 to 10 of about 1,548 (264)
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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Probabilistic generalization of Spivey-type relation for degenerate Bell polynomials
AIMS MathematicsFollowing Spivey's pivotal discovery of a recurrence relation for Bell numbers, significant research has emerged concerning various generalizations of Bell numbers and polynomials.
Taekyun Kim, Dae San Kim
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Spivey’s type recurrence relation for Lah-Bell polynomials [PDF]
Mathematical and Computer Modelling of Dynamical SystemsThe aim of this paper is to derive Spivey’s type recurrence relations for the Lah-Bell polynomials and the [Formula: see text]-Lah-Bell polynomials by utilizing operators [Formula: see text] and [Formula: see text] satisfying the commutation relation ...
Dae San Kim +4 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 +3 more
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Solving Bratu equations using Bell polynomials and successive differentiation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis 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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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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