Upper bound estimates for the polar derivative of a polynomial with restricted zeros

The polar derivative of a polynomial P(z) degree n with respect to complex number ? is nP(z) + (??z)P?(z) at most n?1 and denoted by D?P(z). We consider the class polynomials = a0 ?n v=? avzv, 1, such that ?0 in |z| < k, k 1 establish some upper bound estimates for maximum modulus D?P(z) on unit disk involving coefficients P(z). obtained results refine generalize well known inequalities.