Open AccessBounds for the Zeros of a Polynomial with Restricted Coefficients
Author(s) -
Abdul Aziz,
B. A. Zargar
Publication year - 2012
Publication title -
applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2152-7393
pISSN - 2152-7385
DOI - 10.4236/am.2012.31005
Subject(s) - unit disk , polynomial , mathematics , unit (ring theory) , unit circle , pure mathematics , combinatorics , discrete mathematics , mathematical analysis , mathematics education
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 =αnZn+...+α1Z+α0satisfying the restriction αn≥αn-1≥...≥α1≥α0≥0 lie in the closed unit disk