Indian Journal of Industrial and Applied Mathematics
  • Year: 2019
  • Volume: 10
  • Issue: 1SI

On the Zeros of a Polynomial with Restricted Coefficients

1Department of Mathematics, Govt. Degree College Boys, Pulwama-192301

*Email: darbilal67@gmail.com, darbilal@dcpulwama.edu.in

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 a polynomial in a prescribed regions by subjecting the real and imaginary parts of its coefficients to certain restrictions.

Keywords

30A99, 30E10, 41A10, Polynomial, Zeros, Eneström-Kakeya theorem