Overconvergence, degree of convergence and zeros of sequences of analytic functions

DOI10.1215/S0012-7094-46-01320-8zbMath0063.08149MaRDI QIDQ2653381

Joseph L. Walsh

Publication date: 1946

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Related Items (25)

Note on Overconvergence in Sequences of Analytic Functions ⋮ Behavior of zeros of polynomials of near best approximation ⋮ An analogue of Montel's theorem for some classes of rational functions ⋮ On Interpolation to a Given Analytic Function By Analytic Functions of Minimum Norm ⋮ On the sequence of errors in best polynomial approximation ⋮ The Convergence of Sequences of Rational Functions of Best Approximation. II ⋮ On series of polynomials orthogonal on the real axis ⋮ Overconvergence of Rational Approximants of Meromorphic Functions ⋮ Zero distribution of incomplete Padé and Hermite-Padé approximations ⋮ Exact maximal convergence in capacity and zero distribution of rational approximants ⋮ Polynomial Bases for Compact Sets in the Plane ⋮ Rational functions of best \(L_p\)-approximation and analytic continuability ⋮ The growth at infinity of a sequence of entire functions of bounded orders ⋮ On the distribution of zeros and poles of rational approximants on intervals ⋮ A generalization of universal Taylor series in simply connected domains ⋮ Growth behavior and zero distribution of rational approximants ⋮ The Jentzsch-Szegő theorem and balayage measures ⋮ Regions of meromorphy and value distribution of geometrically converging rational functions ⋮ Best approximation by rational functions and by meromorphic functions with some free poles ⋮ On the convergence of rational functions of best \(L_p\)-approximation. ⋮ On a generalization of Jentzsch's theorem ⋮ On the asymptotic properties of extremal polynomials with prescribed constant term ⋮ Rate of convergence of row sequences of multipoint Padé approximants ⋮ An analogue of Montel's theorem for rational functions of best \(L_p\)-approximation ⋮ Zero distributions for polynomials orthogonal with weights over certain planar regions

This page was built for publication: Overconvergence, degree of convergence and zeros of sequences of analytic functions