A numerical investigation on the structure of the zeros of Euler polynomials
type: Item
instance of: scholarly article
title: A numerical investigation on the structure of the zeros of Euler polynomials
zbMATH Open document ID: 1418.11037
DOI: 10.1155/2015/174173
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: Using numerical investigation, we observe the behavior of complex roots of the Euler polynomials \(E_n(x)\). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the Euler polynomials \(E_n(x)\). Finally, we show the Julia set of Newton iteration function \(R(x) = x - E_n(x) / E_n'(x)\).
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 11Y35
zbMATH DE Number: 7025247
zbMATH Keywords: Euler polynomials
zbMATH Keywords: complex roots
zbMATH Keywords: Julia set
author: C. S. Ryoo
author: J. Y. Kang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/174173
OpenAlex ID: W1603767761
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Wikidata QID: Q59105652
description: scientific article; zbMATH DE number 7025247