On Certain Sufficient Conditions for Analytic Univalent Functions.

In this paper, we introduce a new class Bml(α,δ) 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 Bml(α,δ). [ABSTRACT FROM AUTHOR]