On the s^{th} derivative of a polynomial

For every ۱\leq s< n, the s^{th} derivative of a polynomial P(z) of degree n is a polynomial P^{(s)}(z) whose degree is (n-s). This paper presents a result which gives generalizations of some inequalities regarding the s^{th} derivative of a polynomial having zeros outside a circle. Besides, our result gives interesting refinements of some well-known results.

Keywords:

Polynomial , Zeros , s^{th} derivative