Results 11 to 20 of about 1,345 (195)
The complete Bell polynomials for certain arguments in terms of Stirling numbers of the first kind
Journal of Computational and Applied Mathematics, 1994 The \(p\)-th exponential complete Bell polynomial \(Y_ p (x_ 1,\dots, x_ p)\) is defined by \[ \exp \biggl( \sum_{j=1}^ \infty x_ j {{t^ j} \over {j!}} \biggr)= 1+ \sum_{p=1}^ \infty Y_ p (x_ 1,\dots, x_ p) {{t^ p} \over {p!}}. \] Such polynomial for certain arguments, given essentially by finite sums of reciprocal powers with a real parameter, is ...
K S Kölbig
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Refinements of the Bell and Stirling numbers [PDF]
Transactions on Combinatorics, 2018 We introduce new refinements of the Bell, factorial, and unsigned Stirling numbers of the first and second kind that unite the derangement, involution, associated factorial, associated Bell, incomplete Stirling, restricted factorial ...
Tanay Wakhare
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Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 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 Identities of Degenerate Bell Polynomials
Mathematics, 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
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An Explicit Formula for the Bell Numbers in Terms of the Lah and Stirling Numbers [PDF]
Mediterranean Journal of Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi
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A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 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
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Applied Mathematics in Science and EngineeringIn this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach.
Aimin Xu
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q -Stirling numbers of the second kind and q -Bell numbers for graphs
Electronic Notes in Discrete Mathematics, 2016 Stirling numbers of the second kind and Bell numbers for graphs were defined by Duncan and Peele in 2009. In a previous paper, one of us, jointly with Nyul, extended the known results for these special numbers by giving new identities, and provided a list of explicit expressions for Stirling numbers of the second kind and Bell numbers for particular ...
Michael J Schlosser
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Generalized degenerate Stirling numbers arising from degenerate Boson normal ordering
Applied Mathematics in Science and Engineering, 2023 It is remarkable that, in recent years, intensive studies have been done for degenerate versions of many special polynomials and numbers and have yielded many interesting results.
Taekyun Kim +2 more
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The Hankel Transform of q-Noncentral Bell Numbers [PDF]
International Journal of Mathematics and Mathematical Sciences, 2015 We define two forms of q-analogue of noncentral Stirling numbers of the second kind and obtain some properties parallel to those of noncentral Stirling numbers.
Cristina B. Corcino +4 more
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