On certain sufficient conditions for analytic univalent functions

Abstract

In this paper, we introduce a new class $B^l_m (alpha,delta)$ of functions which is defined by hypergeometric function and obtain its relations with some well-known subclasses of analytic univalent functions. Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family $B^l_m(alpha,delta)$. 2000 Mathematics Subject Classifications: 30C45