Estimates for the polar derivative of a constrained polynomial on a disk

This work is a part of recent wave studies on inequalities which relate the uniform-norm univariate complex coefficient polynomial to its derivative unit disk in plane. When there limit zeros polynomial, we develop some additional that polar derivative. The obtained results support recently established Erdős-Lax and Turán-type for constrained polynomials, as well produce number are sharper than those previously known very large literature this subject.