- 期刊
ON CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER
摘要
The class S*(b) of starlike functions of complex order b was introduced and studied by M.K. Aouf and M.A. Nasr. The authors using the Ruscheweyh derivatives introduce the class K(b) of functions close-to-convex of complex order b, b≠0 and its generalization, the classes K_n(b)where n is a nonnegative integer. Here S*(b)⊂K(b)=K_0(b). Sharp coefficient bounds are determined for K_n(b) as well as several sufficient conditions for functions to belong to K_n(b). The authors also obtain some distortion and covering theorems for K_n(b) and determine the radius of the largest disk in which every f ∈ K_n(b) belongs to K_n(1). All results are sharp.
延伸閱讀
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