Results 41 to 50 of about 9,502,067 (333)
Stirling Numbers of Uniform Trees and Related Computational Experiments
Algorithms, 2023 The Stirling numbers for graphs provide a combinatorial interpretation of the number of cycle covers in a given graph. The problem of generating all cycle covers or enumerating these quantities on general graphs is computationally intractable, but recent
Amir Barghi, Daryl DeFord
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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
Gary L. Mullen +2 more
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Dirichlet series and series with Stirling numbers
Cubo, 2023 This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers ...
Khristo Boyadzhiev
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Discrete Mathematics, 1998 AbstractThe domains of the Stirling numbers of both kinds are extended from N2 to Z2. These extensions lead to Laurent series, ‘special branches’, and interesting formulas (including the ‘Stirling Duality Law’).
Gloria Olive, Raymond Scurr
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Bruhat intervals as rooks on skew Ferrers boards [PDF]
, 2006 We characterise the permutations pi such that the elements in the closed lower Bruhat interval [id,pi] of the symmetric group correspond to non-taking rook configurations on a skew Ferrers board.
Sjostrand, Jonas
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Congruences for Stirling numbers and Eulerian numbers [PDF]
Acta Arithmetica, 2008 In this paper, we establish some Fleck-Weisman type and Davis-Sun type congruences for the Stirling numbers and the Eulerian numbers.
Hao Pan, Hui-Qin Cao
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Harmonic number identities via polynomials with r-Lah coefficients
Comptes Rendus. Mathématique, 2020 In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers.
Kargın, Levent, Can, Mümün
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Solar powered stirling engine for domestic household and rural areas in Karachi, Pakistan
Memoria Investigaciones en Ingeniería, 2023 There is a critical need to use the abundantly available solar energy worldwide due to the global energy crisis. The goal of this study is to demonstrate the residential use of a stirling engine powered by solar energy in Karachi, Pakistan.
Muhammad Uzair +4 more
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Stirling engine: Construction and performance analysis at low temperatures [PDF]
E3S Web of ConferencesStirling engines, categorized as hot air engines, offer remarkable versatility by operating on a variety of fuel sources, which is a significant advantage in the context of energy diversification and sustainability.
Muradov Muzaffar +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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