TY - JOUR
T1 - Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions
AU - C. Selvaraj, O. S. Babu & G. Murugusundaramoorthy
JO - Analysis in Theory and Applications
VL - 2
SP - 141
EP - 150
PY - 2014
DA - 2014/06
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n2.1
UR - https://global-sci.org/intro/article_detail/ata/4480.html
KW - Analytic functions, univalent functions, bi-univalent functions, bi-starlike functions, bi-convex functions, bi-Mocanu-convex functions, subordination, Hohlov operator.
AB - <p style="text-align: justify;">In this paper, we introduce and investigate a new subclass of the function class $\Sigma$ of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several (known or new) consequences of the results are also pointed out.</p>