Shah, M.A. (2018) On the Regions Containing Zeros and Zero Free Regions of a Polynomial. International Journal of Advance Research in Science and Engineering, 7, 2761-2772.

has been cited by the following article:

• TITLE: A Generalization of Eneström-Kakeya Theorem and a Zero Free Region of a Polynomial

  AUTHORS: Mushtaq Ahmad Shah, Ram Swroop, Humayun Mohd Sofi, Insha Nisar

  KEYWORDS: Polynomial, Zeros, Eneström-Kakeya Theorem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.6, June 18, 2021

  ABSTRACT: For the polynomial P (z) = ajzj, aj ≥ aj-1, a0 > 0, j = 1, 2, …, n, an > 0, a classical result of Eneström-Kakeya says that all the zeros of P (z) lie in |z|≤ 1. This result was generalised by A. Joyall and G. Labelle, where they relaxed the non-negativity condition on coefficients. It was further generalized by M.A Shah by relaxing the monotonicity of some coefficients. In this paper, we use some known techniques and provide some more generalizations of the above results by giving more relaxation to the conditions.