Bounds for the Zeros of a Polynomial with Restricted Coefficients

Abdul Aziz, Bashir Ahmad Zargar

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DOI: 10.4236/am.2012.31005                

Abstract

In this paper we shall obtain some interesting extensions and generalizations of a well-known theorem due to Enestrom and Kakeya according to which all the zeros of a polynomial P(Z =α_nZⁿ+...+α₁Z+α₀satisfying the restriction α_n≥α_n-1≥...≥α₁≥α₀≥0 lie in the closed unit disk.

Keywords

Polynomial; Bounds; Zeros

Conflicts of Interest

The authors declare no conflicts of interest.

References

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