TITLE:
Inequalities for the Polar Derivative of a Polynomial
AUTHORS:
Gulshan Singh, W. M. Shah, Yash Paul
KEYWORDS:
Polynomial, Inequality, Polar Derivative
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.2,
March
30,
2011
ABSTRACT: If is a polynomial of degree , having all its zeros in |z|≤K, K≥1 , then it was proved by Aziz and Rather [2] that for every real or complex number with |a| ≥K,
. In this paper, we sharpen above result for the polynomials p(z) of degree n>3