Discrete orthogonal polynomials: asymptotics and applications (Annals of mathematics studies, number 164) - Baik, J; Kriecherbauer, T; McLaughlin, K. T.-R; Miller, P. D (Princeton University Press, 2007)
Keywords: Airy function; Analytic continuation; Analytic function; Ansatz; Approximation error; Approximation theory; Asymptote; Asymptotic analysis; Asymptotic expansion; Asymptotic formula; Asymptotic theory; Beta function; Boundary value problem; Calculation; Cauchy's integral formula; Cauchy-Riemann equations; Change of variables; Complex number; Complex plane; Correlation function; Degeneracy (mathematics); Determinant; Diagram (category theory); Discrete measure; Distribution function; Eigenvalues and eigenvectors; Equation; Estimation; Existential quantification; Explicit formulae (L-function); Factorization; Fredholm determinant; Functional derivative; Gamma function; Gradient descent; Harmonic analysis; Hermitian matrix; Homotopy; Hypergeometric function; Identity matrix; Inequality (mathematics); Integrable system; Invariant measure; Inverse scattering transform; Invertible matrix; Jacobi matrix; Joint probability distribution; Lagrange multiplier; Lax equivalence theorem; Limit (mathematics); Linear programming; Lipschitz continuity; MATHEMATICS; MATHEMATICS / Discrete Mathematics; Matrix function; Maxima and minima; Monic polynomial; Monotonic function; Morera's theorem; Neumann series; Number line; Orthogonal polynomials; Orthogonal polynomials -- Asymptotic theory; Orthogonality; Orthogonalization; Parameter; Parametrix; Pauli matrices; Pointwise; Pointwise convergence; Polynomial; Polynômes orthogonaux; Potential theory; Probability; Probability distribution; Probability measure; Probability theory; Proportionality (mathematics); Quantity; Random matrix; Random variable; Rate of convergence; Rectangle; Rhombus; Riemann surface; Special case; Spectral theory; Statistic; Subset; Theorem; Théorie asymptotique; Toda lattice; Trace (linear algebra); Trace class; Transition point; Triangular matrix; Trigonometric functions; Uniform continuity; Unit vector; Upper and lower bounds