Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials

DOI10.1016/j.jat.2016.02.002zbMath1342.33024arXiv1509.04542OpenAlexW2240989209MaRDI QIDQ259100

Walter Van Assche, Thorsten Neuschel

Publication date: 10 March 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04542

zbMATH Keywords

multiple orthogonal polynomialsasymptotic distribution of the zerosJacobi-Piñeiro polynomialsmultiple Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Stochastic processes (60G99) Real polynomials: location of zeros (26C10)

Related Items (12)

Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ Jacobi-Piñeiro Markov chains ⋮ Multiple orthogonal polynomials with respect to Gauss' hypergeometric function ⋮ Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series ⋮ Construction of the optimal set of quadrature rules in the sense of Borges ⋮ Asymptotics of Jacobi-Piñeiro polynomials and functions of the second kind ⋮ A vector equilibrium problem for Muttalib-Borodin biorthogonal ensembles ⋮ Laguerre-Angelesco multiple orthogonal polynomials on an \(r\)-star ⋮ INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND ⋮ Spectral densities of singular values of products of Gaussian and truncated unitary random matrices ⋮ Jacobi-Angelesco multiple orthogonal polynomials on an \(r\)-star ⋮ Christoffel functions for multiple orthogonal polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits
• Interlacing properties of zeros of multiple orthogonal polynomials
• Nearest neighbor recurrence relations for multiple orthogonal polynomials
• On the asymptotic distribution of the zeros of Hermite, Laguerre, and Jonquière polynomials
• On simultaneous approximations for a collection of Markov functions
• Raney distributions and random matrix theory
• Densities of the Raney distributions
• RANDOM MATRIX MINOR PROCESSES RELATED TO PERCOLATION THEORY
• Zero distribution of polynomials satisfying a differential-difference equation
• Ratio Asymptotics for Multiple Orthogonal Polynomials
• Asymptotic zero distribution for a class of multiple orthogonal polynomials
• Multiple orthogonal polynomial ensembles
• Multiple orthogonal polynomials and a counterexample to the Gaudin Bethe Ansatz Conjecture
• Multiple orthogonal polynomials for classical weights
• PLANCHEREL–ROTACH FORMULAE FOR AVERAGE CHARACTERISTIC POLYNOMIALS OF PRODUCTS OF GINIBRE RANDOM MATRICES AND THE FUSS–CATALAN DISTRIBUTION
• DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES
• Some classical multiple orthogonal polynomials

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