Bilinear semiclassical moment functionals and their integral representation

DOI10.1016/S0021-9045(02)00044-8zbMath1020.44009arXivmath/0205160OpenAlexW2002452257MaRDI QIDQ1874476

Marco Bertola

Publication date: 25 May 2003

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

Full work available at URL: https://arxiv.org/abs/math/0205160

zbMATH Keywords

semiclassical functionalsbiorthogonal polynomialsmoment functionalstwo-matrix random models

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Moment problems (44A60)

Related Items (10)

2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals ⋮ Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions ⋮ Biorthogonal polynomials for two-matrix models with semiclassical potentials ⋮ The dependence on the monodromy data of the isomonodromic tau function ⋮ Free energy of the two-matrix model/dToda tau-function ⋮ The PDEs of biorthogonal polynomials arising in the two-matrix model ⋮ Some remarks on a paper by L. Carlitz ⋮ A holomorphic and background independent partition function for matrix models and topological strings ⋮ The Cauchy two-matrix model ⋮ Loop equations for the semiclassical 2-matrix model with hard edges

Cites Work

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• The spectrum of coupled random matrices
• Duality, biorthogonal polynomials and multi-matrix models
• On semiclassical linear functionals: Integral representations
• On the linear independence of Laplace integral solutions of certain differential equations
• Complex Weight Functions for Classical Orthogonal Polynomials
• Matrices coupled in a chain: I. Eigenvalue correlations
• Two coupled matrices: eigenvalue correlations and spacing functions
• Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model

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