Results 11 to 20 of about 146,061 (197)
On orthogonal polynomials and related discrete integrable systems [PDF]
, 2006 Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
core +5 more sources
Limit key polynomials as p-polynomials [PDF]
Journal of Algebra, 2021 The main goal of this paper is to characterize limit key polynomials for a valuation $ν$ on $K[x]$. We consider the set $Ψ_α$ of key polynomials for $ν$ of degree $α$. We set $p$ be the exponent characteristic of $ν$. Our first main result (Theorem 1.1) is that if $Q_α$ is a limit key polynomial for $Ψ_α$, then the degree of $Q_α$ is $p^rα$ for some $r\
Michael de Moraes, Josnei Novacoski
openaire +3 more sources
Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices [PDF]
, 2010 We apply the method of skew-orthogonal polynomials (SOP) in the complex plane to asymmetric random matrices with real elements, belonging to two different classes. Explicit integral representations valid for arbitrary weight functions are derived for the
Akemann, G +10 more
core +5 more sources
Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]
, 2002 In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Qi, Feng, Luo, Qiu-Ming
core +3 more sources
On polar Legendre polynomials [PDF]
, 2010 10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar ...
Urbina, Wilfredo +6 more
core +2 more sources
Nonnegative Polynomials and Circuit Polynomials
SIAM Journal on Applied Algebra and Geometry, 2022 21 ...
openaire +3 more sources
Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]
, 2009 This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core +1 more source
Random polynomials and polynomial factorization [PDF]
, 1996 We give a precise average-case analysis of a complete polynomial factorization chain over finite fields by methods based on generating functions and singularity analysis.
Philippe Flajolet +2 more
openaire +2 more sources
Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations [PDF]
, 2013 We investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations.
Clarkson, Peter
core +1 more source
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure [PDF]
, 2016 This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure for x in [0,?), ?
Deaño Cabrera, Alfredo +6 more
core +1 more source