On the Location of Zeros of Polynomials

1967/04/01 by A. Joyal, André Joyal, G. Labelle +3 · 3 citations
Mathematics · #Mathematical functions and polynomials #Functional Equations Stability Results #Advanced Banach Space Theory

paper · pdf · doi: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.

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