A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions

Saqib Hussain, Akhter Rasheed, Muhammad Asad Zaighum, Maslina Darus
2017 Journal of Function Spaces  
We investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions. Some coefficient inequalities, a distortion theorem, the radii of close-to-convexity, and starlikeness and convexity for these classes of functions are studied. The behavior of these classes under a certain modified convolution operator is also discussed.
doi:10.1155/2017/9010964 fatcat:4alufmmeqfb75iy6com6nbtyn4