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Fully degenerate Bell polynomials associated with degenerate Poisson random variables

open access: yesOpen Mathematics, 2021
Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al.
Kim Hye Kyung
doaj   +2 more sources

Some Identities of Degenerate Bell Polynomials

open access: yesMathematics, 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
doaj   +3 more sources

Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials

open access: yesOpen 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
doaj   +2 more sources

Some identities related to degenerate r-Bell and degenerate Fubini polynomials

open access: yesApplied Mathematics in Science and Engineering, 2023
Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
doaj   +2 more sources

Some identities on truncated polynomials associated with Lah-Bell polynomials

open access: yesApplied 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
doaj   +2 more sources

A Note on Some Identities of New Type Degenerate Bell Polynomials

open access: yesMathematics, 2019
Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim   +3 more
doaj   +3 more sources

Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences

open access: yesAdvances in Difference Equations, 2020
Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
doaj   +2 more sources

Probabilistic degenerate central Bell polynomials

open access: yesMathematical and Computer Modelling of Dynamical Systems
Assume that [Formula: see text] is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with [Formula: see text], as ...
Li Chen   +4 more
doaj   +3 more sources

Probabilistic degenerate poly-Bell polynomials associated with random variables

open access: yesMathematical and Computer Modelling of Dynamical Systems
Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin. The aim of this paper is to study the probabilistic degenerate poly-Bell polynomials associated with the random variable [Formula: see ...
Pengxiang Xue   +4 more
doaj   +3 more sources

On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus

open access: yesJournal of Mathematics, 2023
In this article, we derived various identities between the degenerate poly-Daehee polynomials and some special polynomials by using λ-umbral calculus by finding the coefficients when expressing degenerate poly-Daehee polynomials as a linear combination ...
Sang Jo Yun, Jin-Woo Park
doaj   +1 more source

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