On some subclasses of multivalent starlike functions

Abstract EN

In the present paper we are introducing two new subclasses ??.?.?,?,?∗ (?, ?, ?, ?) and ??,?,?,?,?( ?, ?, ?, ?) of multivalent starlike functions in the open unit disk defined by using certain fractional calculus operator.

We obtain coefficient inequalities and distortion properties for functions belonging to the above subclasses.

The radii of convexity and starlikeness for functions belonging to these subclasses are also determined.