Results 11 to 20 of about 149,574 (327)
Stirling Number Representation Problems [PDF]
Proceedings of the American Mathematical Society, 1960 H. W. Gould
+5 more sources
Stirling number representations
Discrete Mathematics, 2006 AbstractStirling numbers of the first and second kinds, s(n,k) and S(n,k), may be defined by means of recurrence relations together with a set of initial values. This paper discusses the ambiguities that arise within this prescription when n takes negative values.
David Branson
openalex +3 more sources
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
openaire +5 more sources
On identities involving generalized harmonic, hyperharmonic and special numbers with Riordan arrays
Special 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
Normal ordering of degenerate integral powers of number operator and its applications
Applied 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
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
openaire +3 more sources
The Legendre–Stirling numbers [PDF]
Discrete Mathematics, 2011 AbstractThe Legendre–Stirling numbers are the coefficients in the integral Lagrangian symmetric powers of the classical Legendre second-order differential expression. In many ways, these numbers mimic the classical Stirling numbers of the second kind which play a similar role in the integral powers of the classical second-order Laguerre differential ...
Wolfgang Gawronski +2 more
openaire +1 more source
Experimental and Numerical Study of a Microcogeneration Stirling Unit under On–Off Cycling Operation
Energies, 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
On a family of Euler-type numbers and polynomials [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2023 We consider a family of Euler-type polynomials, depending on a real parameter α 6= 0, 1. The case α = 2 corresponds to standard Euler polynomials. We show some properties of these polynomials, and show also two generalized recurrences.
Claudio Pita-Ruiz
doaj
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
doaj +1 more source