On a generalization of Jentzsch's theorem

DOI10.1016/j.jat.2008.11.016zbMath1171.30006OpenAlexW2172060196MaRDI QIDQ1029106

Wolfgang Luh, Hans-Peter Blatt, Simon Blatt

Publication date: 9 July 2009

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

Full work available at URL: http://hdl.handle.net/11858/00-001M-0000-0012-6471-2

zbMATH Keywords

Jentzsch's theoremvalue-distribution of polynomialsBernstein-Walshs' inequality

Mathematics Subject Classification ID

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 (4)

Non-normality, topological transitivity and expanding families ⋮ Zero distribution of incomplete Padé and Hermite-Padé approximations ⋮ Visual Exploration of Complex Functions ⋮ The Jentzsch-Szegő theorem and balayage measures

Cites Work

• The analogue for maximally convergent polynomials of Jentzsch's theorem
• A Jentzsch-type-theorem
• Behavior of zeros of polynomials of near best approximation
• On the zeros of sequences of polynomials
• Overconvergence, degree of convergence and zeros of sequences of analytic functions
• Distribution of Alternation Points in Uniform Polynomial Approximation
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
• On the distribution of points of maximum deviation in the approximation of continuous functions by polynomials
• On \(L^p\)-discrepancy of signed measures

This page was built for publication: On a generalization of Jentzsch's theorem