Number of Zeros of a Polynomial in a Specific Region with Restricted Coefficients

Abstract

This paper focuses on the problem concerning the location and the number of zeros of polynomials in a specific region when their coefficients are restricted with special conditions. We obtain extensions of some classical results concerning the number of zeros of polynomials in a prescribed region by imposing the restrictions on the moduli of the coefficients, the real parts(only) of the coefficients, and the real and imaginary parts of the coefficients. AMS Subject Classification: 30A99, 30E10, 41A10.