Subclasses of analytic functions defined by the inverses of certain integral operators. (English) Zbl 1289.30051
Summary: In this paper we introduce and study new classes of analytic and univalent functions defined by the inverses of certain integral operators in the unit disk \(E=\{z\in\mathbb C:| z|<1\}\). The new classes of functions have been studied conveniently via corresponding non-iterative integral transformations of Carathéodory functions.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 30C50 | Coefficient problems for univalent and multivalent functions of one complex variable |
