Results 131 to 140 of about 1,310,996 (291)
Combinatorial Properties and Values of High-Order Eulerian Numbers
This paper studies higher-order Eulerian numbers based on Stirling permutations and utilizing Eulerian triangles. It primarily focuses on the chain of higher-order Eulerian numbers, higher-order Eulerian polynomials, and higher-order Eulerian fractions ...
Tian-Xiao He
doaj +1 more source
Generalized Stirling Numbers and Generalized Stirling Functions
Here presented is a unified approach to Stirling numbers and their generalizations as well as generalized Stirling functions by using generalized factorial functions, $k$-Gamma functions, and generalized divided difference. Previous well-known extensions of Stirling numbers due to Riordan, Carlitz, Howard, Charalambides-Koutras, Gould-Hopper, Hsu-Shiue,
openaire +2 more sources
U matematici postoji mnogo specifičnih brojeva kao što su na primjer Fibonaccijevi brojevi, Mersenneovi brojevi, Catalanovi brojevi, Bernoullijevi brojevi i slično.
Dokić, Boris
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Abstract Background and aims Alcohol‐free and low alcohol [no/lo; ≤1.2% alcohol by volume (ABV)] drinks are increasingly popular in some high‐income countries and offer potential public health benefits if used as substitutes for regular‐strength drinks; however, perceived high prices may deter people from buying these products.
Abigail K. Stevely +6 more
wiley +1 more source
Sum rules for permutations with fixed points involving Stirling numbers of the first kind
We propose sum rules for permutations pn(k) of the ensemble {1,2,...,n} with k fixed points, in the form of partial sums of their moments. The corresponding identities involve Stirling numbers of the first kind s(q,r).
Jean-Christophe Pain
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A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials [PDF]
In this paper, we introduce the Hermite-based poly-Bernoulli numbers and polynomials with q-parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations.
Khan Waseem A. +2 more
doaj
Stirling numbers and integer partitions
In this paper, we prove that the Stirling numbers of both kinds can be written as sums over integer partitions. As corollaries, we rewrite some identities with Stirling numbers of both kinds without Stirling numbers.Keywords: Integer partitions ...
Merca, Mircea
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Adolescent use of nicotine pouches in four Latin American countries: A cross‐sectional survey
Abstract Background and Aim Nicotine pouches are novel products with rapid global sales growth. Our aim was to explore use and perceptions of nicotine pouches among adolescents in Latin America. Design Cross‐sectional school surveys between March and August 2025. Setting Sixteen cities, four each in Argentina, Guatemala, Mexico and Peru.
Georgia Alexandrou +6 more
wiley +1 more source
Generalized Stirling Numbers, Convolution Formulae, and p,q-Analogues
In this paper, we study two generalizations of the Stirling numbers of the first and second kinds, inspired from their combinatorial interpretation in terms of 0--1 tableaux. They are the A-Stirling numbers and the partial Stirling numbers.
Anne de Medicis, Pierre Leroux
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The impact of the Daily Mile on Primary School Children [PDF]
The Daily Mile is a physical activity programme through which primary-aged children run or walk for 15 minutes every day, at a self-selected pace. First developed at St Ninians Primary, Stirling, in 2012, the initiative has grown in popularity nationally
Brooks, Naomi +6 more
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