Results 1 to 10 of about 1,874,459 (287)
Ratio Asymptotics for Orthogonal Matrix Polynomials
Journal of Approximation Theory, 1999 In the 1979's monograph ``Orthogonal polynomials'' [Mem. Am. Math. Soc. 213, 185 p. (1979; Zbl 0405.33009)] \textit{P. Nevai} established a remarkable result that orthogonal polynomials on \(\mathbb R\), satisfying a 3-term recurrence relation with converging coefficients, present a ratio asymptotics outside of the set of accumulation points of the ...
Antonio J Duran
exaly +2 more sources
On tau functions for orthogonal polynomials and matrix models [PDF]
Journal of Physics A: Mathematical and Theoretical, 2011 Let v be a real polynomial of even degree, and let ρbe the equilibrium probability measure for v with support S; so that v(x)\geq 2\int \log |x-y| ρ(dy)+C_v for some constant C_v with support S. Then S is the union of finitely many bounded intervals with endpoints delta_j, and ρis given by an algebrais weight w(x) on S.
Blower, Gordon
core +8 more sources
A matrix approach for the semiclassical and coherent orthogonal polynomials [PDF]
Applied Mathematics and Computation, 2015 We obtain a matrix characterization of semiclassical orthogonal polynomials in terms of the Jacobi matrix associated with the multiplication operator in the basis of orthogonal polynomials, and the lower triangular matrix that represents the orthogonal polynomials in terms of the monomial basis of polynomials.
Luis E Garza +2 more
exaly +5 more sources
Orthogonal matrix polynomials and applications
Journal of Computational and Applied Mathematics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Walter van Assche
exaly +3 more sources
Orthogonal matrix polynomials whose differences are also orthogonal
Journal of Approximation Theory, 2014 We characterize orthogonal matrix polynomials (Pn)n whose differences (∇Pn+1)n are also orthogonal by means of a discrete Pearson equation for the weight matrix W with respect to which the polynomials (Pn)n are orthogonal. We also construct some illustrative examples.
Antonio José Durán Guardeño
exaly +5 more sources
Szegő’s theorem for matrix orthogonal polynomials
Journal of Approximation Theory, 2012 We extend some classical theorems in the theory of orthogonal polynomials on the unit circle to the matrix case. In particular, we prove a matrix analogue of Szegő's theorem. As a by-product, we also obtain an elementary proof of the distance formula by Helson and Lowdenslager.
Sergey Khrushchev +2 more
exaly +5 more sources
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 +7 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, Kieburg, M, Phillips, M J
core +7 more sources
Vector orthogonal polynomials and matrix series
Journal of Computational and Applied Mathematics, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +3 more sources
Bergman Orthogonal Polynomials and the Grunsky Matrix [PDF]
Constructive Approximation, 2017 By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by K{ü}hnau in 1985, we improve some recent results on strong asymptotics of Bergman polynomials outside the domain G of orthogonality, and on entries of the Bergman shift operator.
Beckermann, Bernhard +3 more
openaire +6 more sources