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The average number of real zeros of a random polynomial

✍ Scribed by D. C. Stevens

Publisher: John Wiley and Sons
Year: 1969
Tongue: English
Weight: 572 KB
Volume: 22
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.3160220403

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The classical Enestöm-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