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Coefficient estimates for certain subclasses of bi-univalent Ma-Minda Mocanu-convex functions. (English) Zbl 1313.30076

Summary: 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, which satisfies Ma-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. A further Application of Hohlov operator to this class is obtained. Several (known or new) consequences of the results are also pointed out.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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