Results 1 to 10 of about 1,015 (210)
Complete and incomplete Bell polynomials associated with Lah–Bell numbers and polynomials [PDF]
Advances in Difference Equations, 2021 The nth r-extended Lah–Bell number is defined as the number of ways a set with n + r $n+r$ elements can be partitioned into ordered blocks such that r distinguished elements have to be in distinct ordered blocks.
Taekyun Kim +4 more
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Some identities of Lah–Bell polynomials [PDF]
Advances in Difference Equations, 2020 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-Bell polynomials and numbers [PDF]
Advances in Difference Equations, 2021 Numerous mathematicians have studied ‘poly’ as one of the generalizations to special polynomials, such as Bernoulli, Euler, Cauchy, and Genocchi polynomials.
Taekyun Kim, Hye Kyung Kim
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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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On Generalized Bell Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2011 It is shown that the sequence of the generalized Bell polynomials Sn(x) is convex under some restrictions of the parameters involved. A kind of recurrence relation for Sn(x) is established, and some numbers related to the generalized Bell numbers and ...
Roberto B. Corcino, Cristina B. Corcino
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Probabilistic degenerate central Bell polynomials
Mathematical and Computer Modelling of Dynamical SystemsAssume 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
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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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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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Some identities on truncated polynomials associated with Lah-Bell polynomials
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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