Title

Inequalities For The Polar Derivative Of A Polynomial

Keywords

Inequalities in the complex domain; Polar derivative; Polynomials

Abstract

Let P(z) be a polynomial of degree at most n. We consider an operator D α which maps a polynomial P(z) into D αP(z):= nP(z) + (α - z)P′(z) and prove results concerning the estimates of {pipe}D αP(z){pipe} on the disk {pipe}z{pipe} = R ≥ 1, and thereby obtain extensions and generalizations of a number of well-known polynomial inequalities. © 2010 Springer Basel AG.

Publication Date

12-1-2012

Publication Title

Complex Analysis and Operator Theory

Volume

6

Issue

6

Number of Pages

1199-1209

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11785-010-0120-3

Socpus ID

84870389964 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84870389964

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