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Zero-Free Regions for Polynomials and Some Generalizations of Eneström-Kakeya Theorem

Published online by Cambridge University Press:  20 November 2018

Abdul Aziz  and
Q. G. Mohammad
Abdul Aziz
Affiliation:
Post-Graduate Department of Mathematics, University of Kashmir, Hazratbal Srinagar-190006 Kashmir, India
Q. G. Mohammad
Affiliation:
Post-Graduate Department of Mathematics, University of Kashmir, Hazratbal Srinagar-190006 Kashmir, India
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Abstract

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In this paper we shall use matrix methods to obtain several generalizations of a well known result of Eneström and Kakeya about the location of the zeros of polynomials. We shall also obtain zero-free regions of polynomials having complex coefficients. Finally we prove some results concerning the zeros of a class of polynomials.

Keywords

30A0430A0630A4041A10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 3 , 01 September 1984 , pp. 265 - 272
Copyright
Copyright © Canadian Mathematical Society 1984

References

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