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Seminar on Complex Analysis (Gonchar Seminar)
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On asymptotics of spectra for one quantum optic scattering problem A. I. Aptekarev Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow |
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Abstract: Joint work with Masha Lapik and Yurii Orlov. We consider a special system of discrete orthogonal polynomials which is a generalization of the Krawtchouk polynomials. The limiting distribution of the mass points of the orthogonality measure is obtained. We discuss a conjecture on the limiting distribution of the values of the masses of the orthogonality measure. |