On zero-free regions for the derivative of a polynomial

Authors

  • B A Zargar Department of Mathematics, University of Kashmir Hazratbal Srinagar 190006
  • A W Manzoor Department of Mathematics, University of Kashmir Hazratbal Srinagar 190006

Keywords:

Zero-free regions, Critical points, Sendov’s Conjecture

Abstract

Let Pn denote the set of all polynomials of the form p(z) =z∏n-1j=1(z-zj)  with |zj|≥1, 1≤ j≤ n-1. In this paper we shall obtain some zero-free regions for the derivative of a polynomial.

BIBECHANA 14 (2017) 48-53

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Published

2016-11-28

How to Cite

On zero-free regions for the derivative of a polynomial. (2016). BIBECHANA, 14, 48-53. https://doi.org/10.3126/bibechana.v14i0.15521

Issue

Vol. 14 (2017)

Section

Research Articles

License

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format for noncommercial purposes only, and only so long as attribution is given to the creator.

How to Cite

On zero-free regions for the derivative of a polynomial. (2016). BIBECHANA, 14, 48-53. https://doi.org/10.3126/bibechana.v14i0.15521