Results 1 to 10 of about 293 (217)

The Legendre–Stirling numbers

open access: yesDiscrete Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L L Littlejohn
exaly   +4 more sources

Understanding Vaccine Hesitancy in Vietnamese Fish Farmers

open access: yesAntibiotics, 2022
(1) Background: Antibiotic (AB) usage in food animals is a significant contributor to antimicrobial resistance (AMR). Vaccination can reduce the over-use of AB treatment.
Julie A. Chambers   +5 more
doaj   +1 more source

Vector weighted Stirling numbers and an application in graph theory

open access: yesElectronic Journal of Graph Theory and Applications, 2021
We introduce \textit{vector weighted Stirling numbers}, which are a generalization of ordinary Stirling numbers and restricted Stirling numbers. Some relations between vector weighted Stirling numbers and ordinary Stirling numbers and some of their ...
Fahimeh Esmaeeli   +2 more
doaj   +1 more source

A Comprehensive Review on Stirling Engines

open access: yesEngineering Perspective, 2023
Stirling engines work with all kinds of heat sources thanks to the external heat supply. It has many advantages over internal combustion engines, especially in terms of noise emissions and pollutant emissions. Since the first Stir-ling engine invented by
Turan Alp Arslan, Tolga Kocakulak
doaj   +1 more source

On identities involving generalized harmonic, hyperharmonic and special numbers with Riordan arrays

open access: yesSpecial Matrices, 2021
In this paper, by means of the summation property to the Riordan array, we derive some identities involving generalized harmonic, hyperharmonic and special numbers.
Koparal Sibel, Ömür Neşe, Duran Ömer
doaj   +1 more source

Dickson–Stirling numbers [PDF]

open access: yesProceedings 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
openaire   +2 more sources

Normal ordering of degenerate integral powers of number operator and its applications

open access: yesApplied Mathematics in Science and Engineering, 2022
The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a ‘degenerate version’ of this, we consider the normal ordering of a degenerate integral
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Experimental and Numerical Study of a Microcogeneration Stirling Unit under On–Off Cycling Operation

open access: yesEnergies, 2021
Stirling units are a viable option for micro-cogeneration applications, but they operate often with multiple daily startups and shutdowns due to the variability of load profiles.
Gianluca Valenti   +5 more
doaj   +1 more source

Stirling Numbers of Forests and Cycles [PDF]

open access: yesThe 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
openaire   +3 more sources

Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function

open access: yesAdvances 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
doaj   +1 more source

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