Certain new subclasses of bi-univalent function associated with bounded boundary rotation involving sǎlǎgean derivative

Abstract

In this article, using the Sǎlǎgean operator, we introduced three new subclasses of bi-univalent functions associated with bounded boundary rotation in open unit disk $ \mathbb{E}. $ For these new classes, we first obtain initial Taylor-Maclaurin's coefficient bounds. Furthermore, the famous Fekete-Szegö inequality was also derived for these new subclass functions. Some improved results, when compared with those available in the literature, are also stated.

Keywords

• analytic
• bi-univalent
• sǎlǎgean operator
• bounded boundary rotation
• convolution
• coefficient estimates