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KIAM Preprint № 27, Moscow, 2017
Authors: Sorokin V.N.
Angelesco-Meixner polynomials
Abstract:
The polynomials of multiple orthogonality with respect to two discrete Meixner measures on the non-overlapping segments of the real line are considered. The limiting distribution of the zeros of the scaled polynomials is found. The result is obtained in terms of the equilibrium problem of logarithmic potential and in terms of the meromorphic functions on compact Riemann surfaces.
Keywords:
Meixner polynomials, logarithmic potential, saddle point method, algebraic functions, Riemann surfaces
Publication language: russian,  pages: 16
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Sorokin Vladimir Nikolaevich,  ,  Кафедра теории функций и функционального анализа механико-математического факультета Московского Государственного Университета имени М. В. Ломоносова