On the order of vanishing at 1 of a polynomial
type: Item
instance of: scholarly article
title: On the order of vanishing at 1 of a polynomial
zbMATH Open document ID: 0963.12001
DOI: 10.1007/BF02465586
published in: Lithuanian Mathematical Journal
publication date: 2001-06-28T00:00:00Z
review text: Let \(P(z)=\sum_{k=0}^na_kz^k\) be a polynomial with complex coefficients and assume that \(\max\{|a_k|\}=\max\{|a_0|,|a_n|\}\). The author shows that the order of a possible zero of \(f\) at \(z=1\) cannot exceed \(31\sqrt n/15+2.5\). For sufficiently large \(n\) this bound can be replaced by \(21\sqrt n/13\).
reviewed by: Władysław Narkiewicz
Mathematics Subject Classification ID: 12D10
Mathematics Subject Classification ID: 11R09
Mathematics Subject Classification ID: 11C08
zbMATH DE Number: 1551607
zbMATH Keywords: complex polynomials
zbMATH Keywords: order of a zero
author: A. Dubickas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1551607