Some generalizations of the Eneström–Kakeya theorem

  • Eze R. Nwaeze Department of Mathematics and Statistics, Auburn University, Auburn, AL
Keywords: real polynomials, location of zeros, MATLAB

Abstract

Let p(z) = a0 + a1z + a2z2 + ... + anzn be a polynomial of degree n; where the coefficients aj, j = 0, 1, 2, ..., n, are real numbers. We impose some restriction on the coefficients and then prove some extensions and generalizations of the Eneström–Kakeya theorem.
Published
2016-06-22
Section
Articles