Results 21 to 30 of about 1,310,996 (291)
Convolution Identities of Stirling Numbers [PDF]
Utilitas MathematicaBy means of the generating function method, a linear recurrence relation is explicitly resolved. The solution is expressed in terms of the Stirling numbers of both the first and the second kind. Two remarkable pairs of combinatorial identities (Theorems 3.1 and 3.3) are established as applications, that contain some well–known convolution formulae on ...
Li, Nadia N., Chu, Wenchang
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Discrete Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
George E. Andrews +2 more
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Combinatorial interpretations of the Jacobi-Stirling numbers
, 2009 14 pagesThe Jacobi-Stirling numbers of the first and second kinds were introduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers.
Zeng, Jiang, Gelineau, Yoann
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Dickson–Stirling numbers [PDF]
Proceedings of the Edinburgh Mathematical Society, 1997 The Dickson polynomialDn, (x,a) of degreenis defined bydenotes the greatest integer function. In particular, we defineD0(x,a) = 2 for all realxanda. By using Dickson polynomials we present new types of generalized Stirling numbers of the first and second kinds. Some basic properties of these numbers and a combinatorial application to the enumeration of
Hsu, L. C. +2 more
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Stirling numbers and periodic points [PDF]
Acta Arithmetica, 2021 We introduce the notion of almost realizability, an arithmetic generalization of realizability for integer sequences, which is the property of counting periodic points for some map. We characterize the intersection between the set of Stirling sequences (of both the first and the second kind) and the set of almost realizable sequences.
Miska P, Ward T
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Stirling Numbers of Forests and Cycles [PDF]
The Electronic Journal of Combinatorics, 2013 For a graph $G$ and a positive integer $k$, the graphical Stirling number $S(G,k)$ is the number of partitions of the vertex set of $G$ into $k$ non-empty independent sets. Equivalently it is the number of proper colorings of $G$ that use exactly $k$ colors, with two colorings identified if they differ only on the names of the colors.
David J. Galvin, Do Trong Thanh
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Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers
Advances in Difference Equations, 2020 The aim of this paper is to study Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers of the first and second kinds.
Taekyun Kim +3 more
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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2016 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang +5 more
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Our Connected Neighbourhoods: Stirling Environment Audits Report [PDF]
, 2021 This report presents the findings of citizen directed programme of environmental audits undertaken in Stirling Town Centre in early 2020. The project was undertaken by a volunteer group of local people living with dementia, as well as their carers and ...
Harrison, Kevin +2 more
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Advances in Difference Equations, 2021 A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
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