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On a subclass of close-to-convex functions. (English) Zbl 1178.30022

Summary: In this paper, we introduce a new subclass \(\mathcal K_s(\lambda,A,B)\) of close-to-convex functions. Such results as inclusion relations, coefficient estimates, distortion and covering theorems for this class are proved. The results presented here provide extensions of those given in earlier works. Several other new results are also obtained.

MSC:

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