Asymptotics for the Greatest Zeros of Orthogonal Polynomials

DOI10.1137/0517053zbMath0595.42010OpenAlexW1991968688MaRDI QIDQ3726716

Vilmos Totik, Attila Máté, Paul G. Nevai

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517053

zbMATH Keywords

symmetric orthogonal polynomialsasymptotic behavior of the recursion coefficients

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

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Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ On Freud's equations for exponential weights ⋮ Improving the asymptotics for the greatest zeros of Hermite polynomials ⋮ Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials ⋮ Stochastic Collocation Methods via $\ell_1$ Minimization Using Randomized Quadratures ⋮ Turán inequalities for three-term recurrences with monotonic coefficients ⋮ Asymptotic Expansions for Solutions of Smooth Recurrence Equations ⋮ A uniform asymptotic formula for orthogonal polynomials associated with \(\exp(-x^4)\) ⋮ On the nonnegative solution of a Freud three-term recurrence

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