Abstract

The main purpose of this paper is to introduce a class $TS_H^*(\gamma)$ ($\gamma\in C\setminus\{0\}$) of functions which are harmonic in the unit disc. We give necessary and sufficient conditions for the functions to be in $TS_H^*(\g)$.

Keywords: Harmonic functions, starlike functions.

MSC: 30C45, 30C50, 31A05

Pages:  7$-$11     

Volume  58 ,  Issue  1$-$2 ,  2006