Results 11 to 20 of about 1,874,872 (323)
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
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Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i MehanikaThe scalar moment problem was first introduced by T. J. Stieltjes in his work ``Recherches sur les fractions continues'' Annals of the Faculty of Sciences of Toulouse 8, 1--122, (1895).
Б. Е. Медіна-Ернандес
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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
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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
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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
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Computation of Fourier transform representations involving the generalized Bessel matrix polynomials
Advances in Difference Equations, 2021 Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
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Laguerre–Freud Equations for the Gauss Hypergeometric Discrete Orthogonal Polynomials
Mathematics, 2023 The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ0=2F1a,bc+1;η.
Itsaso Fernández-Irisarri +1 more
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Asymptotics of matrix valued orthogonal polynomials on [−1,1]
Advances in Mathematics, 2023 We analyze the large degree asymptotic behavior of matrix valued orthogonal polynomials (MVOPs), with a weight that consists of a Jacobi scalar factor and a matrix part. Using the Riemann-Hilbert formulation for MVOPs and the Deift-Zhou method of steepest descent, we obtain asymptotic expansions for the MVOPs as the degree tends to infinity, in ...
Deano, Alfredo +2 more
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On the Fractional Order Rodrigues Formula for the Shifted Legendre-Type Matrix Polynomials
Mathematics, 2020 The generalization of Rodrigues’ formula for orthogonal matrix polynomials has attracted the attention of many researchers. This generalization provides new integral and differential representations in addition to new mathematical results that are ...
Mohra Zayed +3 more
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