Exact maximal convergence in capacity and zero distribution of rational approximants

DOI10.1007/S40315-015-0126-YzbMath1329.41016OpenAlexW818619648MaRDI QIDQ902194

Hans-Peter Blatt

Publication date: 7 January 2016

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-015-0126-y

zbMATH Keywords

rational approximationdistribution of zerosconvergence in capacityharmonic majorants

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Overconvergence of Rational Approximants of Meromorphic Functions

Cites Work

• Meromorphic continuation of functions and arbitrary distribution of interpolation points
• Growth behavior and zero distribution of rational approximants
• The analogue for maximally convergent polynomials of Jentzsch's theorem
• Behavior of zeros of polynomials of near best approximation
• Rate of convergence of row sequences of multipoint Padé approximants
• On the zeros of sequences of polynomials
• Overconvergence, degree of convergence and zeros of sequences of analytic functions
• Maximally convergent rational approximants of meromorphic functions
• Convergence in capacity of rational approximants of meromorphic functions
• THE RATE OF RATIONAL APPROXIMATION AND THE PROPERTY OF SINGLE-VALUEDNESS OF AN ANALYTIC FUNCTION IN THE NEIGHBORHOOD OF AN ISOLATED SINGULAR POINT
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
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