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On the infinite families of zero bounds of complex polynomials

โœ Scribed by Hsu, Shun-Pin; Cheng, Feng-Chi

Book ID
120937413
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
799 KB
Volume
256
Category
Article
ISSN
0377-0427

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We define a region \(H_{\alpha, f}\) in the complex number field, where \(\alpha\) is a complex number, \(f(x) \in K[x]\) and \(f(\alpha) \neq 0\). The region \(H_{\alpha, f}\) contains no zeros of \(f(x)\) and is relatively easy to analyze. We analyze the region with respect to \(K=\mathbb{R}\) and