A new subclass of starlike functions

Abstract

Motivated by the Rønning-starlike class [Proceedings of the American Mathematical Society 1993; 118:189-196], we introduce the new class S∗c that includes analytic and normalized functions f , which satisfy the inequality $Re{frac{zf'(z)}{f(z)}}geqleft|frac{f(z)}z-1right|;;(left|zright|