Coefficient Inequalities for Concave Ces´aro Operator of Non-concave Analytic Functions

Maslina Darus, Rabha W. Ibrahim

Abstract

In this article, we determined the coefficient inequalities for concave Ces´aro operator which applied on non-concave analytic functions f(z) =P1n=0 an(f)zn, a0 =0, a1 = 2 in an open unit disk U := {z : |z| < 1}. Also we discussed the univalence of this operator by using per-Schwarzian derivative.

Keywords

Meromorphic univalent functions, Concave functions, Convex set, Per- Schwarzian derivative; Ces´aro operator

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