On the Location of Zeros of Polynomials
- 1 April 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 10 (1) , 53-63
- https://doi.org/10.4153/cmb-1967-006-3
Abstract
The different results proved in this paper do not have very much in common. Since they all deal with the location of the zeros of a polynomial, we have decided to put them in one place. Improving upon a classical result of Cauchy we obtain in § 2 a circle containing all the zeros of a polynomial. In § 3 we obtain an extension of the well known theorem of Enestrőm and Kakeya concerning the zeros of a polynomial whose coefficients are non-negative and monotonie.Keywords
This publication has 2 references indexed in Scilit:
- Continuity and location of zeros of linear combinations of polynomialsProceedings of the American Mathematical Society, 1965
- Bemerkungen zu einem Satz von J. H. Grace ber die Wurzeln algebraischer GleichungenMathematische Zeitschrift, 1922