Results 41 to 50 of about 2,375 (206)
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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On certain polynomial systems involving Stirling numbers of second kind [PDF]
Journal of Symbolic Computation, 2022 23 ...
Castro-Jiménez, Francisco-Jesús +1 more
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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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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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Maximum Stirling Numbers of the Second Kind
, 2008 See the abstract in the attached ...
G. KEMKES +2 more
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Mixed r-Stirling numbers of the second kind
Online Journal of Analytic Combinatorics, 2016 The Stirling number of the second kind \( S(n, k) \) counts the number of ways to partition a set of \( n \) labeled balls into \( k \) non-empty unlabeled cells. We extend this problem and give a new statement of the \( r \)-Stirling numbers of the second kind and \( r \)-Bell numbers.
Yaqubi, Daniel +2 more
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A note on stirling numbers of the second kind
Journal of Combinatorial Theory, 1968 AbstractFor fixed n, Stirling numbers of the second kind, S(n,r) have a single maximum.
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An identity for Stirling numbers of the second kind
Kathmandu University Journal of Science, Engineering and Technology, 2018 We obtain an identity satisfied by the Stirling numbers of the second kind.Kathmandu University Journal of Science, Engineering and TechnologyVol. 13, No.
B. M. Tuladhar +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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