Distribution of zeros of polynomials with positive coefficients

TL;DR

This paper investigates how the zeros of polynomials with positive coefficients are distributed in the limit as the degree increases, providing insights into their asymptotic behavior.

Contribution

It introduces a description of the limiting zero distributions for sequences of polynomials with positive coefficients, advancing understanding in polynomial zero distribution theory.

Findings

Characterization of zero distribution limits

Asymptotic behavior of zeros

Conditions for zero distribution patterns

Abstract

We describe the limit zero distributions of sequences of polynomials with positive coefficients.