Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 141–150
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n2.1
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 2 : pp. 141–150
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Analytic functions univalent functions bi-univalent functions bi-starlike functions bi-convex functions bi-Mocanu-convex functions subordination Hohlov operator.