Results 31 to 40 of about 50,310 (297)
Stirling numbers of the second kind
Duke Mathematical Journal, 1958 L. Moser, M. Wyman
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The r-Jacobi-Stirling numbers of the second kind [PDF]
Miskolc Mathematical Notes, 2017 RAHIM, Asmaa, MIHOUBI, Miloud
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On the minimum of independent collecting processes via the Stirling numbers of the second kind
Statistics and Probability Letters, 2022 Aristides V. Doumas
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Explicit estimates for the Stirling numbers of the second kind [PDF]
We give explicit estimates for the Stirling numbers of the second kind $S(n,m)$. With a few exceptions, such estimates are asymptotically sharp. The form of these estimates varies according to $m$ lying in the central or non-central regions of $\{1,\ldots ,n\}$.
José A. Adell
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Stirling numbers of the second kind and Bonferroni's inequalities
Elemente der Mathematik, 2005 Horst Wegner
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Some identities involving degenerate Stirling numbers arising from normal ordering
AIMS Mathematics, 2022 In this paper, we derive some identities and recurrence relations for the degenerate Stirling numbers of the first kind and of the second kind, which are degenerate versions of the ordinary Stirling numbers of the first kind and of the second kind.
Taekyun Kim, Dae San Kim , Hye Kyung Kim
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New approach to λ-Stirling numbers
AIMS Mathematics, 2023 The aim of this paper is to study the $ \lambda $-Stirling numbers of both kinds, which are $ \lambda $-analogues of Stirling numbers of both kinds. These numbers have nice combinatorial interpretations when $ \lambda $ are positive integers.
Dae San Kim +2 more
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Degenerate r-truncated Stirling numbers
AIMS Mathematics, 2023 For any positive integer $ r $, the $ r $-truncated (or $ r $-associated) Stirling number of the second kind $ S_{2}^{(r)}(n, k) $ enumerates the number of partitions of the set $ \{1, 2, 3, \dots, n\} $ into $ k $ non-empty disjoint subsets, such that ...
Taekyun Kim, Dae San Kim, Jin-Woo Park
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Annihilating Polynomials and Stirling Numbers of the Second Kind
Irish Mathematical Society Bulletin, 2006 Stefan A. G. De Wannemacker
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Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind [PDF]
, 2013 In the paper, by establishing a new and explicit formula for computing the $n$-th derivative of the reciprocal of the logarithmic function, the author presents new and explicit formulas for calculating Bernoulli numbers of the second kind and Stirling ...
Feng Qi (祁锋)
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