Distribution of the zeros of Hermite-Padé polynomials
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Publication:2994738
DOI10.1070/RM2015v070n06ABEH004980zbMath1346.42034MaRDI QIDQ2994738
Sergey P. Suetin, Aleksandr V. Komlov
Publication date: 3 August 2016
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)
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Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Continued fractions with limit periodic coefficients ⋮ On the Van Vleck theorem for limit-periodic continued fractions of general form ⋮ On a vector potential-theory equilibrium problem with the Angelesco matrix ⋮ The capacity of the rational preimage of a compact set ⋮ On singular points of meromorphic functions determined by continued fractions ⋮ On expanding neighborhoods of local universality of Gaussian unitary ensembles ⋮ On the supports of vector equilibrium measures in the Angelesco problem with nested intervals ⋮ Hermite-Padé approximants of the Mittag-Leffler functions ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system
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