## Conic domains and starlike functions.(English)Zbl 0990.30010

Summary: A number of results for functions from the class of $$k-ST$$, among others those that are bounded for $$0<k<\infty$$, are obtained. A sharp growth theorem, upper bounds of coefficients, a sufficient condition for a function to be in $$k-ST$$, and some radius properties are given.

### MSC:

 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

### Keywords:

uniformly convex function; starlike function