Selvaraj, C.; Babu, O. S.; Murugusundaramoorthy, G. Coefficient estimates for certain subclasses of bi-univalent Ma-Minda Mocanu-convex functions. (English) Zbl 1313.30076 Anal. Theory Appl. 30, No. 2, 141-150 (2014). 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.) Keywords:bi-univalent functions; bi-starlike functions; bi-Mocanu-convex functions; Hohlov operator PDFBibTeX XMLCite \textit{C. Selvaraj} et al., Anal. Theory Appl. 30, No. 2, 141--150 (2014; Zbl 1313.30076) Full Text: DOI