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On the Location of Zeros of Polynomials

Published online by Cambridge University Press:  20 November 2018

A. Joyal ,
G. Labelle  and
Q.I. Rahman
A. Joyal
Affiliation:
Université de Montréal
G. Labelle
Affiliation:
Université de Montréal
Q.I. Rahman
Affiliation:
Université de Montréal
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 1 , April 1967 , pp. 53 - 63
Copyright
Copyright © Canadian Mathematical Society 1967

References

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