Harmonic uniformly β−starlike functions of complex order defined by convolution and integral convolution

Abstract

In this paper we introduce and study a subclass of harmonic univalent functions defined by convolution and integral convolution. Coefficient bounds, extreme points, distortion bounds, convolution conditions and convex combinations are determined for functions in this family. Consequently, many of our results are either extensions or new approaches to those corresponding to previously known results. Mathematics Subject Classification (2010): 30C45, 30C50.

Cite this paper

@inproceedings{Magesh2014HarmonicU, title={Harmonic uniformly β−starlike functions of complex order defined by convolution and integral convolution}, author={Nanjundan Magesh and Saurabh Porwal and Vasu Prameela}, year={2014} }