Convergence of Shafer quadratic approximants

DOI10.1070/RM9714zbMath1350.41003OpenAlexW2408301152MaRDI QIDQ2816818

Sergey P. Suetin, R. V. Palvelev, N. G. Kruzhilin, Aleksandr V. Komlov

Publication date: 25 August 2016

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

Full work available at URL: https://doi.org/10.1070/rm9714

zbMATH Keywords

Riemann surfacemeromorphic functionNuttall condenserPade-approximants

Mathematics Subject Classification ID

Padé approximation (41A21) Interpolation in approximation theory (41A05) Riemann surfaces (30F99)

Related Items (14)

Continued fractions with limit periodic coefficients ⋮ An analog of Pólya's theorem for multivalued analytic functions with finitely many branch points ⋮ The Gonchar-Stahl $ \rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions ⋮ On the distribution of the zeros of the Hermite-Padé polynomials for a quadruple of functions ⋮ Hermite-Padé approximants for meromorphic functions on a compact Riemann surface ⋮ On the Van Vleck theorem for limit-periodic continued fractions of general form ⋮ On a vector potential-theory equilibrium problem with the Angelesco matrix ⋮ Hermite–Padé polynomials and Shafer quadratic approximations for multivalued analytic functions ⋮ Riemann-Hilbert analysis for a Nikishin system ⋮ Distribution of the zeros of Hermite–Padé polynomials for a complex Nikishin system ⋮ On singular points of meromorphic functions determined by continued fractions ⋮ On expanding neighborhoods of local universality of Gaussian unitary ensembles ⋮ 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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