On a Number of Zeros of a Polynomial inside a Given Circle in the Left Half Plane

Abstract

This paper concerns the number of zeros of a polynomial inside a given circle in the left half plane. Marden provided an algorithm to compute the number of zeros of a polynomial in a unit circle centered at the origin by using only the coefficients of the given polynomial. In this short article, it will be shown that the result can easily be extended to the case where the circle, with its center and radius arbitrary, is located on the left half complex plane.