On certain subclass of analytic functions defined by convolution. (English) Zbl 1349.30048
Authors’ abstract: We use the principle of subordination between analytic functions and the convolution to introduce the class \(\tilde S(f,g;A,B;\alpha,\beta)\). We obtain coefficient inequalities, distortion theorems, extreme points, radii of close to convexity, starlikeness and convexity for this class and modified Hadamard product of several functions belonging to it. Also, we investigate several distortion inequalities involving fractional calculus. Finally, we obtain integral means for functions belonging to this class.
Reviewer: Slavko Simić (Beograd)
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 |