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

DOI:

https://doi.org/10.3126/bibechana.v14i0.15521

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

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

Issue

Vol. 14 (2017)

Section

Research Articles

License

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