Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros

DOI10.1016/j.laa.2012.08.034zbMath1257.33011OpenAlexW2019909140MaRDI QIDQ1931735

J. Mínguez Ceniceros, S. Medina Peralta, Ulises Fidalgo

Publication date: 16 January 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.034

zbMATH Keywords

multiple orthogonal polynomialsinterlacing zerosAT systems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (8)

Multiple orthogonal polynomials applied to matrix function evaluation ⋮ Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices ⋮ Convergent non complete interpolatory quadrature rules ⋮ Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials ⋮ Multiple orthogonal polynomials associated with the exponential integral ⋮ A Jacobi type Christoffel-Darboux formula for multiple orthogonal polynomials of mixed type ⋮ Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials ⋮ Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality

Cites Work

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• A graph-based equilibrium problem for the limiting distribution of nonintersecting Brownian motions at low temperature
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• Interlacing properties of zeros of multiple orthogonal polynomials
• Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
• A note on biorthogonal ensembles
• Normality in Nikishin systems
• Gaussian quadrature for multiple orthogonal polynomials
• The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann–Hilbert problems
• A Note on the Irrationality of ζ(2) and ζ(3)
• Mixed type multiple orthogonal polynomials for two Nikishin systems

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