Results 71 to 80 of about 323,104 (323)
Application of a composition of generating functions for obtaining explicit formulas of polynomials [PDF]
arXiv, 2012 Using notions of composita and composition of generating functions we obtain explicit formulas for Chebyshev polynomials, Legendre polynomials, Gegenbauer polynomials, Associated Laguerre polynomials, Stirling polynomials, Abel polynomials, Bernoulli Polynomials of the Second Kind, Generalized Bernoulli polynomials, Euler Polynomials, Peters ...
arxiv
Relations for zeros of special polynomials associated to the Painleve equations [PDF]
, 2006 A method for finding relations for the roots of polynomials is presented. Our approach allows us to get a number of relations for the zeros of the classical polynomials and for the roots of special polynomials associated with rational solutions of the Painleve equations.
arxiv +1 more source
Connection between Schubert polynomials and top Lascoux polynomials [PDF]
arXiv, 2023 Schubert polynomials form a basis of the polynomial ring. This basis and its structure constants have received extensive study. Recently, Pan and Yu initiated the study of top Lascoux polynomials. These polynomials form a basis of a subalgebra of the polynomial ring where each graded piece has finite dimension.
arxiv
Ehrhart polynomial and arithmetic Tutte polynomial
European Journal of Combinatorics, 2012 AbstractWe prove that the Ehrhart polynomial of a zonotope is a specialization of the arithmetic Tutte polynomial introduced by Moci (2012) [16]. We derive some formulae for the volume and the number of integer points of the zonotope.
D'ADDERIO M, MOCI L
openaire +5 more sources
NTRU-Like Random Congruential Public-Key Cryptosystem for Wireless Sensor Networks
Sensors, 2020 Wireless sensor networks (WSNs) are the core of the Internet of Things and require cryptographic protection. Cryptographic methods for WSN should be fast and consume low power as these networks rely on battery-powered devices and microcontrollers.
Anas Ibrahim +5 more
doaj +1 more source
Incomplete q-Chebyshev Polynomials [PDF]
arXiv, 2016 In this paper, we get the generating functions of q-Chebyshev polynomials using operator. Also considering explicit formulas of q-Chebyshev polynomials, we give new generalizations of q-Chebyshev polynomials called incomplete q-Chebyshev polynomials of the first and second kind. We obtain recurrence relations and several properties of these polynomials.
arxiv
On the orthogonality of Atkin-like polynomials and orthogonal polynomial expansion of generalized Faber polynomials [PDF]
arXiv, 2023 In this paper, we consider the Atkin-like polynomials that appeared in the study of normalized extremal quasimodular forms of depth 1 on $SL_{2}(\mathbb{Z})$ by Kaneko and Koike as orthogonal polynomials and clarify their properties. By considering Atkin-like polynomials in terms of orthogonal polynomials, we prove an unexpected connection between ...
arxiv
Digital Methods for the Fatigue Assessment of Engineering Steels
Advanced Engineering Materials, EarlyView.The use of engineering steels is often limited by their fatigue strength. In the sake of a faster product development, the fatigue behavior can be predicted by machine learning (ML). In this work, ML is applied on a heterogeneous database, covering a wide range of steel types.
Sascha Fliegener +7 more
wiley +1 more source
Sensors, 2018 Continuous monitoring of natural human gait in real-life environments is essential in many applications including disease monitoring, rehabilitation, and professional sports.
Erfan Shahabpoor, Aleksandar Pavic
doaj +1 more source
The Ideal of Vanishing Polynomials and the Ring of Polynomial Functions [PDF]
arXiv, 2023 Vanishing polynomials are polynomials over a ring which output $0$ for all elements in the ring. In this paper, we study the ideal of vanishing polynomials over specific types of rings, along with the closely related ring of polynomial functions. In particular, we provide several results on generating vanishing polynomials.
arxiv