Cauchy Type Results Concerning Location of Zeros
of Polynomials H. A. Soleiman Mezerji and M. Bidkham Received: July 16, 2013;
Accepted: January 10, 2014
Abstract.
Let p(z) be a polynomial with complex coefficients. In this paper, we obtain some
new results concerning the location of zeros of polynomials p(z). Our results
sharpened Cauchy's result, along with some of the other known results, which were
based on the classical Cauchy's work. Finally, we prove the results concerning the
bounds for the number of zeros for the polynomial p(z), which generalize some known results.
Keywords:
Cauchy theorem; Eneström-Kakeya theorem; zeros.
AMS Subject classification:
Primary: 30C10, 30C15
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