This article is cited in 1 paper

A Generalization of Jentzsch's Theorem

E. A. Lebedeva

Kursk State University

Abstract: We study the asymptotic behavior of the roots of polynomials given by a linear summation method for partial sums of the Fourier series.

Keywords: Jentzsch's theorem, polynomial, Fourier series, Laurent series, Bernstein polynomial, Cauchy bound, Vitali's theorem, Hurwitz theorem.

UDC: 517.5

Received: 22.09.2008
Revised: 21.05.2010

DOI: 10.4213/mzm8911

 English version: Mathematical Notes, 2010, 88:5, 717–722

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