Zero distribution of incomplete Padé and Hermite-Padé approximations

DOI10.1016/J.JAT.2015.08.005zbMath1327.30012OpenAlexW1674717499MaRDI QIDQ892174

N. E. Zubov

Publication date: 18 November 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2015.08.005

zbMATH Keywords

distribution of zerosHermite-Padé approximationJentzsch-Szegő theoremincomplete Padé approximation

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)

Cites Work

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• Direct and inverse results on row sequences of Hermite-Padé approximants
• Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants
• Nikishin systems are perfect
• Growth behavior and zero distribution of rational approximants
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• The analogue for maximally convergent polynomials of Jentzsch's theorem
• On a generalization of Jentzsch's theorem
• Angular distribution of the zeros of Padé polynomials
• On the zeros of sequences of polynomials
• On sections of power series
• Overconvergence, degree of convergence and zeros of sequences of analytic functions
• POLES OF ROWS OF THE PADÉ TABLE AND MEROMORPHIC CONTINUATION OF FUNCTIONS
• ON THE CONVERGENCE OF GENERALIZED PADÉ APPROXIMANTS OF MEROMORPHIC FUNCTIONS
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
• Regions of Meromorphy Determined by the Degree of Best Rational Approximation

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