Some properties of certain subclasses of close-to-convex and quasi-convex functions with respect to 2k-symmetric conjugate points

We introduce and investigate some new subclasses of close-to-convex and quasi-convex functions with respect to 2k-symmetric conjugate points. Such results as inclusion relationships, integral representations, convolution properties, integralpreservingproperties, growth and covering theorems for these function classes are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained