GEOMETRIC PROPERTIES OF CERTAIN ANALYTIC FUNCTIONS

GEOMETRIC PROPERTIES OF CERTAIN ANALYTIC FUNCTIONS

S. Kumar, N. Kumar Jain, S. Anand

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Abstract

This paper deals with some geometrical properties of certain subclasses of analytic functions having predetermined second coefficient. Firstly, we determine the growth and distortion estimates for such classes. Moreover, we investigate starlikeness of order α, strongly starlikeness, parabolic starlikeness, lemniscate starlikeness, exponential starlikeness, sine starlikeness and rational starlikeness for such classes.

Keywords

Analytic function; starlike function; subordination, fixed second coefficient; starlikeness.