Inequalities for the Polar Derivative of a Polynomial

    Authors

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

    Comments

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    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

    Language

    English

    First Page

    1199

    Last Page

    1209

    WOS Identifier

    WOS:000312126700007

    ISSN

    1661-8254

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