Abstract

In this paper, we extend the concept of -uniform convexity. Making use of the principle of subordination and a family of integral operators, we introduce and investigate some new subclasses of analytic functions. Several inclusion results with some interesting consequences are proved. The rate of growth of Hankel determinant for the functions in these classes is also studied.

Key words: -uniformly convex, univalent, starlike, conic regions, subordination, Hankel determinant, bounded boundary rotation.