Certain Subclasses of Close-to-Convex and Quasi-Convex Function with respect to k-symmetric points

(Lobachevskii Journal of Mathematics, Volume XXI)

In the present paper, the author introduce two new subclasses of close-to-convex functions and of quasi-convex functions with respect to k-symmetric points. The sufficient conditions and integral representations for functions belonging to these classes are provided, the inclusion relationships and convolution conditions for these classes are also provided.