let $c_0(alpha)$ denote the class of concave univalent functions defined in the open unit disk $mathbb{d}$. each function $f in c_{0}(alpha)$ maps the unit disk $mathbb{d}$ onto the complement of an unbounded convex set. in this paper, we study the mapping properties of this class under integral operators.

Convexification based on convex envelopes is ubiquitous in the non-linear optimization literature. Thanks to considerable efforts of community for decades, we are able compute a number functions that appear practice, and thus obtain tight tractable approximations challenging problems. We contribute this line work by considering family that, best our knowledge, has not been considered before cal...