On a Subclass of Strongly Starlike Functions Associated with Exponential Function

Let l(e)* denote the class of analytic functions f in the open unit disk normalized by f (0) = f' (0) - 1 = 0 and satisfying the condition z f' (z)/f (z) < e(z) for vertical bar z vertical bar < 1. The structural formula, inclusion relations, coefficient estimates, growth and distortion results, subordination theorems and various radii constants for functions in the class l(e)* are obtained. In addition, the sharp l(e)*-radii for functions belonging to several interesting classes are also determined.