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On the zeros of a polynomial and its derivative

✍ Scribed by André Joyal


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
118 KB
Volume
26
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


On the Location of the Zeros of a Polyno
✍ R.B. Gardner; N.K. Govil 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 134 KB

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