On certain subclasses of close-to-convex and quasi-convex functions with respect to k-symmetric points ✩

In the present paper, the authors introduce two new subclasses S(k) s (φ) of close-to-convex functions and C(k) s (φ) of quasi-convex functions. The integral representations for functions belonging to these classes are provided, the convolution conditions, growth theorems, distortion theorems and covering theorems for these classes are also provided. The results obtained generalize some known results, and some other new results are obtained. © 2005 Elsevier Inc. All rights reserved