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.
By making use of certain famihar integral operators, the authors introduce and investigate several new subclasses of starlike, convex, close-to-convex, and quasi-convex functions Among other results presented here, the authors estabhsh a number of inclusion relationships associated with some of these integral operators. Some of the results established in this paper would provide extensions of those given in earlier works (~)
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