Anal. Theory Appl., 30 (2014), pp. 141-150.
Published online: 2014-06
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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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n2.1}, url = {http://global-sci.org/intro/article_detail/ata/4480.html} }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.