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Degenerate binomial and Poisson random variables associated with degenerate Lah-Bell polynomials
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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Some identities of Lah–Bell polynomials
Recently, the nth Lah–Bell number was defined as the number of ways a set of n elements can be partitioned into nonempty linearly ordered subsets for any nonnegative integer n.
Yuankui Ma+4 more
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Degenerate Poly-Lah-Bell Polynomials and Numbers
Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
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Some new formulas of complete and incomplete degenerate Bell polynomials
The aim of this paper is to study the complete and incomplete degenerate Bell polynomials, which are degenerate versions of the complete and incomplete Bell polynomials, and to derive some properties and identities for those polynomials.
Dae San Kim+3 more
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Fully degenerate Bell polynomials associated with degenerate Poisson random variables
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
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On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus
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
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Some identities for degenerate complete and incomplete r-Bell polynomials
In this paper, we study degenerate complete and incomplete r-Bell polynomials. They are generalizations of the recently introduced degenerate r-Bell polynomials and degenerate analogues for the complete and incomplete r-Bell polynomials.
Jongkyum Kwon+3 more
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An extension of the bell polynomials
AbstractAfter recalling the most important properties and applications of the Bell polynomials, we introduce an extension of this special class of functions. More precisely, we consider the case of multicomposite functions, and we show connections with the ordinary Bell polynomials.
NATALINI P., RICCI, Paolo Emilio
openaire +4 more sources
Correlation between Adomian and Partial Exponential Bell Polynomials [PDF]
We obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials. On using such results, the $n$-th Adomian polynomial for any nonlinear operator can be expressed explicitly in terms of the partial ...
Kataria, K. K., Vellaisamy, P.
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In this paper, we introduce new class of Bell-based Apostol-type Frobenius–Euler polynomials and investigate some properties of these polynomials. We derive some explicit and implicit summation formulas and their symmetric identities by using different ...
Noor Alam+2 more
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