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Negative $q$-Stirling numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of ...
Yue Cai, Margaret Readdy
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Some properties on degenerate Fubini polynomials
Applied Mathematics in Science and Engineering, 2022 The nth Fubini number enumerates the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. Further, Fubini polynomials are natural extensions of the
Taekyun Kim +3 more
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Maximum Stirling Numbers of the Second Kind
, 2008 See the abstract in the attached ...
G. KEMKES +2 more
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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, Dae San Kim, Hye Kyung Kim
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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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Some results on p-adic valuations of Stirling numbers of the second kind
AIMS Mathematics, 2020 Let $n$ and $k$ be nonnegative integers. The Stirling number of the second kind, denoted by $S(n, k)$, is defined as the number of ways to partition a set of $n$ elements into exactly $k$ nonempty subsets and we have $$ S(n, k)=\frac{1}{k!}\sum_{i=0}^{k}(
Yulu Feng, Min Qiu
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On the asymptotic normality of the Legendre-Stirling numbers of the second kind
, 2014 For the Legendre-Stirling numbers of the second kind asymptotic formulae are derived in terms of a local central limit theorem. Thereby, supplements of the recently published asymptotic analysis of the Chebyshev-Stirling numbers are established. Moreover,
Gawronski, Wolfgang +2 more
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Generalized q-Stirling Numbers and Their Interpolation Functions
Axioms, 2013 In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers.
Yilmaz Simsek +2 more
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New Polynomials and Numbers Associated with Fractional Poisson Probability Distribution
, 2010 Generalizations of Bell polynomials, Bell numbers, and Stirling numbers of the second kind have been introduced and their generating functions were evaluated.Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics ...
Laskin, Nick
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Some identities of degenerate multi-poly-Changhee polynomials and numbers
Electronic Research Archive, 2023 Recently, many researchers studied the degenerate multi-special polynomials as degenerate versions of the multi-special polynomials and obtained some identities and properties of the those polynomials.
Sang Jo Yun +3 more
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