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On certain new subclass of close-to-convex functions. (English) Zbl 1224.30092

Summary: We introduce a new subclass \({\mathcal K}^{(k)}_s(\alpha,\beta)\) of close-to-convex functions. The subordination and inclusion relationship and some coefficient inequalities for this class are provided. The results presented here would provide extensions of those given in earlier works.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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