On the Zeros of a Class of Polynomials and Related Analytic Functions

On the Zeros of a Class of Polynomials and Related Analytic Functions

Year:    2012

Author:    A. Aziz, B. A. Zargar

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 2 : pp. 180–188

Abstract

In this paper we prove some interesting extensions and generalizations of Enestrom-Kakeya Theorem concerning the location of the zeros of a polynomial in a complex plane. We also obtain some zero-free regions for a class of related analytic functions. Our results not only contain some known results as a special case but also a variety of interesting results can be deduced in a unified way by various choices of the parameters.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.3969/j.issn.1672-4070.2012.02.008

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 2 : pp. 180–188

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    zeros of a polynomial bounds analytic functions moduli of zeros.

Author Details

A. Aziz

B. A. Zargar