Let \(P(z) = \sum _{v=0}^{n}a_vz^{v}\) be a polynomial degree n, then the polynomial \(D_{\alpha } P(z) = nP(z) + ({\alpha } - z)P^{\prime }(z)\) , \(\alpha \in \mathbb {C}\) , is called the polar derivative of P(z) with respect to \(\alpha \) . The polynomial \(D_{\alpha } P(z)\) is of degree at most \(n-1\) and it generalizes the ordinary derivative in the sense that \(\lim _{\alpha \rightarrow \infty } \frac{D_{\alpha } P(z)}{\alpha } = P^{\prime }(z).\) In this paper, we present some findings on the maximum modulus of the generalized polar derivative of a polynomial with restricted zeros. These results are the work of Deewan and Upadhyay (Journal of inequalities in pure and applied mathematics, vol. 9, iss. 4, art. 119, 2008), on polar derivatives to extended generalized polar derivatives.
