Coefficient inequalities for concave Cesaro operator of non-concave analytic functions

Abstract

In this article, we determined the coefficient inequalities for concave Cesáro operator which applied on non-concave analytic functions $f (z) = sum^infty_{n=0} a_n(f)z^n, a_0 = 0, a_1 = 2$ in an open unit disk $U := {z : |z| < 1}$. Also we discussed the univalence of this operator by using per-Schwarzian derivative. 2000 Mathematics Subject Classifications: 30C45