Abstract

In the present paper, the authors introduce a new subclass ${\Cal K}^{(k)}_s(\alpha,\beta)$ of close-to-convex functions. The subordination and inclusion relationship, and some coefficient inequalities for this class are provided. The results presented here would provide extensions of those given in earlier works.

Keywords: Starlike functions, close-to-convex functions, differential subordination.

MSC: 30C45

Pages:  119$-$124     

Volume  58 ,  Issue  3$-$4 ,  2006