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The precise annulus containing all the zeros of a polynomial

✍ Scribed by A. Abian

Publisher
Springer Netherlands
Year
1983
Tongue
English
Weight
112 KB
Volume
14
Category
Article
ISSN
0031-5303

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The classical EnestΓΆm-Kekeya Theorem states that a polynomial \(p(z)=\) \(\sum_{i=0}^{n} a_{i} z^{\prime}\) satisfying \(0<a_{0} \leq a_{1} \leq \cdots \leq a_{n}\) has all its zeros in \(|z| \leq 1\). We extend this result to a larger class of polynomials by dropping the conditions that the coeffic