# Inequalities for the derivative of Polynomials with restricted zeros

## TL;DR

This paper uses the boundary Schwarz lemma to generalize and refine existing inequalities related to the maximum modulus of polynomials with restricted zeros, building on prior results by Turan, Dubinin, and others.

## Contribution

It introduces new bounds and inequalities for polynomial derivatives with restricted zeros using advanced complex analysis techniques.

## Key findings

- Generalized inequalities for polynomial derivatives.
- Refined bounds on maximum modulus of polynomials.
- Extended classical results to broader polynomial classes.

## Abstract

In this paper we shall use the boundary Schwarz lemma of Osserman to obtain some generalizations and refinements of some well known results concerning the maximum modulus of the polynomials with restricted zeros due to Turan, Dubinin and others.