Turan Type Inequalities For a Class of Polynomials With Constraints

In this paper some sharp lower bound estimates for the maximal modulus of p'(z) and polar derivative of p(z) are established in terms of their degrees, coefficients and maximal modulus of p(z) over unit disk under the assumption that all the zeros of p(z) lie in |z|\leq k, k \geq ۱.

کلیدواژه ها:

Lower bound ، Maximum modulus ، Polar derivative ، Polynomial