Title

Inequalities for the Polar Derivative of a Polynomial

Authors

Authors

A. Liman; R. N. Mohapatra;W. M. Shah

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Complex Anal. Oper. Theory

Keywords

Polynomials; Polar derivative; Inequalities in the complex domain; Mathematics, Applied; Mathematics

Abstract

Let P(z) be a polynomial of degree at most n. We consider an operator D (alpha) which maps a polynomial P(z) into D (alpha) P(z) := nP(z) + (alpha - z)P'(z) and prove results concerning the estimates of |D (alpha) P(z)| on the disk |z| = R a parts per thousand yen 1, and thereby obtain extensions and generalizations of a number of well-known polynomial inequalities.

Journal Title

Complex Analysis and Operator Theory

Volume

6

Issue/Number

6

Publication Date

1-1-2012

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s11785-010-0120-3

Language

English

First Page

1199

Last Page

1209

WOS Identifier

WOS:000312126700007

ISSN

1661-8254

Recommended Citation

"Inequalities for the Polar Derivative of a Polynomial" (2012). Faculty Bibliography 2010s. 2938.
https://stars.library.ucf.edu/facultybib2010/2938