Application of Fractional Calculus on Certain New Subclasses of Analytic Functions

Abstract

For function of the form:

which are analytic and p-valent in the open unit disk

The authors study certain new suclasses of starlike, convex and spiralike functions using fractional calculus techniques.

Also, they obtained coefficient inequality as well as distortion theorems for the fractional derivative and fractional integration for functions belonging to these subclasses.

Mathematics Subject Classification: Primary 30C45