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Imaginary part bounds on polynomial zeros

✍ Scribed by Lajos László


Book ID
107824901
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
329 KB
Volume
44
Category
Article
ISSN
0024-3795

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On Some Bounds for Zeros of Norm-Bounded
✍ Osami Yamamoto 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 708 KB

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