A New Subclass of Univalent Functions Associated with the Lima con Domain

Let A denote the family of analytic and normalized functions f(z) = z + Ó1 n=2 anzn in the unit disk D := fz : jzj 1g, such that f(z) = u + iv lies in a domain bounded by a Lima con [ (u .. 1)2 + v2 .. s2t2]2 = (t .. s)2 [ (u .. 1 .. st)2 + v2 ] ; where ..1 s t 1 and 0 2jstj t .. s. In this work, we introduce a family of analytic univalent functions in the open unit disc D. For functions belonging to this class, we derive several properties such as bounded for real part and the order of starlikeness and convexity.