are normalized with f (w)= f (w)− 1= 0 and wa fixed point in U. In 2005, the authors
introduced the classes of functions close to convex and α-convex, which are normalized in
the same way. All these definitions are somewhat similar to the ones for the uniform-type
functions and it is easy to see that for w= 0, the well-known classes of starlike, convex, close-
to-convex, and α-convex functions are obtained. In this paper, we continue the investigation …