Volume 30, Issue 2
Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions

Anal. Theory Appl., 30 (2014), pp. 141-150

Published online: 2014-06

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• Abstract

In this paper, we introduce and investigate a new subclass of the functionclass $\Sigma$ of bi-univalent functions of the Mocanu-convex type definedin the open unit disk, satisfy Ma and Minda subordination conditions.Furthermore, we find estimates on the Taylor-Maclaurincoefficients $|a_2|$ and $|a_3|$ for functions in the new subclassintroduced here. Further Application of Hohlov operator to this classis obtained. Several (known or new) consequences of the results are also pointed out.

• Keywords

Analytic functions univalent functions bi-univalent functions bi-starlike functions bi-convex functions bi-Mocanu-convex functions subordination Hohlov operator