Inequalities for a Polynomial and its Derivative

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 3,  2015, pp.689-694
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.3.689
Title & Authors
Inequalities for a Polynomial and its Derivative

Abstract
In this paper we consider the class of polynomials of the type $\small{p(z)=z^s(a_0+{\Sigma}_{j={\mu}}^{n-s}ajz^j)}$, $\small{1{\leq}{\mu}{\leq}n-s}$, $\small{0{\leq}s{\leq}n-1}$ having some zeros at origin and rest of zeros on or outside the boundary of a prescribed disk, and obtain the generalization of well known results.
Keywords
Derivative;polynomial;inequality;Zeros;
Language
English
Cited by
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