Norm of pre-Schwarzian derivative for the class of k-uniformly convex and k-starlike functions

A quasiconformal extension for the class of k  -uniformly convex functions, denoted k-UCV(k∈[0,∞))k-UCV(k∈[0,∞)), and for the class of k  -starlike functions, denoted k-STk-ST is provided. Also, estimation of the norm of pre-Schwarzian derivative in k-UCVk-UCV is given.