STUDY OF SUBCLASSES OF STARLIKE AND CONVEX FUNCTIONS

STUDY OF SUBCLASSES OF STARLIKE AND CONVEX FUNCTIONS

M. I. Faisal

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Abstract

In this article, we introduce new subclasses of starlike and convex functions by using a new dierential operator dened in the open unit disk U. We study the geometric properties of such subclasses of starlike and convex functions. The vertices, co-vertices, coordinates of foci and equation of directrix are discussed in detail. Finally, we investigate various convolution properties of these subclasses.

Keywords

Analytic functions, Dierential operator, Convex functions.