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

Authors

  • Maslina Darus
  • Rabha W. Ibrahim ukm

Keywords:

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

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.

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Published

2010-12-31

Issue

Vol. 3 No. 6 (2010): Special Issue on Complex Analysis:Theory and Applications

Section

Special Issue on Complex Analysis: Theory and Applications

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How to Cite

Coefficient Inequalities for Concave Ces´aro Operator of Non-concave Analytic Functions. (2010). European Journal of Pure and Applied Mathematics, 3(6), 1086-1092. https://www.ejpam.com/index.php/ejpam/article/view/743