On certain subclasses of close-to-convex and quasi-convex functions with respect to k-symmetric points |
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| Authors: | Zhi-Gang Wang Chun-Yi Gao Shao-Mou Yuan |
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| Institution: | College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, People's Republic of China |
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| Abstract: | In the present paper, the authors introduce two new subclasses  of close-to-convex functions and  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. |
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| Keywords: | Close-to-convex functions Quasi-convex functions Differential subordination Hadamard product (or convolution) k-Symmetric points |
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