On the distribution of the zeros of the Hermite-Padé polynomials for a quadruple of functions

DOI10.1070/RM9772zbMath1375.41010OpenAlexW2614227604MaRDI QIDQ5360679

Sergey P. Suetin

Publication date: 26 September 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9772

zbMATH Keywords

distribution of zerosHermite-Padé polynomials

Mathematics Subject Classification ID

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)

Related Items (5)

Zero distribution for Angelesco Hermite–Padé polynomials ⋮ On some properties of Hermite-Padé approximants to an exponential system ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ On an example of the Nikishin system ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system

Cites Work

• On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials
• On convergence of simultaneous Padé approximants for systems of functions of Markov type
• Asymptotics of diagonal Hermite-Padé polynomials
• Convergence of Shafer quadratic approximants
• Zero distribution of Hermite-Padé polynomials and localization of branch points of multivalued analytic functions
• Distribution of the zeros of Padé polynomials and analytic continuation
• Convergence of m-point Padé approximants of a tuple of multivalued analytic functions
• The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system
• Orthogonal Polynomials and 𝑆-curves

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