Zero-Free Region for Polynomials with Restricted Coefficients

Journal Title: UNKNOWN - Year 2015, Vol 4, Issue 4

Abstract

In this paper we prove some extension of the Eneström-Kakeya theorem says that. Let P(z)= -_(i=0)^n-〖a_i z^i 〗 be a polynomial of degree n such that 0<a_(0 )-a_1- a_2-,-,-a_n then all the zeros of P(z) lie in |z|-1. By relaxing the hypothesis of this result in several ways and obtain zero-free regions for polynomials with restricted coefficients and there by present some interesting generalizations and extensions of the Enestrom-Kakeya Theorem

Authors and Affiliations

Keywords

Related Articles

Vitamin A Deficiency Eye Disorders In Children: An Overview

Vitamin deficiency continues to be one of the most prevalent nutritional deficiency diseases and most common preventable cause of blindness. This observational was conducted to study the clinical profile of vitamin A def...

Reusable SOLS Encoder for DSRC Applications

The dedicated short range communication (DSRC) is a protocol mainly used for intelligent transportation system. The information signals transmitted by this protocol are encoded by using either FM0 or Manchester codes. Th...

Effects of Long Term Use of Mobile Phones on Hearing Status of Healthy Individuals Compared to Infrequent Mobile Phone Users in Age Group of 15-40 Years

Background & objectives : The electromagnetic waves can affect the human health including hearing impairment. Several studies have shown increased degree of hearing loss with long term use of mobile phones. The present s...

Elasto-Plastic Strain Rate Dependent Material Characterization of Steel Grade for Crash Simulation

Strain rate sensitivity is an important material property in the formability of sheet metal. In this study, strain rate sensitivity is evaluated for grade of mild steel.. Material testing standards for quasi-static rates...

Light Energy Design Influence to Caustic Effect of 3D Transparent Objects

"This research makes a software which can produce reflective and transparent object. Reflective object will modeled can reflect another object surrounding it. And transparent object will modeled can produce caustic effec...

Download PDF file
  • EP ID EP367644
  • DOI -
  • Views 122
  • Downloads 0

How To Cite

(2015). Zero-Free Region for Polynomials with Restricted Coefficients. UNKNOWN, 4(4), -. https://europub.co.uk./articles/-A-367644