On an inequality of Paul Turan concerning polynomials


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Abstract

Let P(z) be a polynomial of degree n and Ps(z) be its sth derivative. In this paper, we shall prove some inequalities for the sth derivative of a polynomial having zeros inside a circle, which as a special case give generalizations and refinements of some results of Turan, Govil, Malik and others.

About the authors

Abdullah Mir

Department ofMathematics

Author for correspondence.
Email: mabdullah_mir@yahoo.co.in
India, Srinagar, 19006

K. K. Dewan

Department of Mathematics

Email: mabdullah_mir@yahoo.co.in
India, New Delhi, 110025

Imtiaz Hussain

Department ofMathematics

Email: mabdullah_mir@yahoo.co.in
India, Srinagar, 19006


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