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Complex Approximations, Orthogonal Polynomials and Applications (CAOPA)
June 29, 2020 18:00, Moscow, online via Zoom
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Zero distribution of orthogonal polynomials on a $q$-lattice
W. Van Assche Katholieke Universiteit Leuven
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Abstract:
We give the asymptotic behavior of the zeros of orthogonal polynomials, after appropriate scaling, for which the orthogonality measure is supported on the $q$-lattice $\{q^k,\,k=0,1,2,3,\ldots\}$, where $0<q<1$. The asymptotic distribution of the zeros is given by the radial part of the equilibrium measure of an extremal problem in logarithmic potential theory for circular symmetric measures with a constraint imposed by the $q$-lattice. This is joint work with Quinten Van Baelen.
Language: English
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