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On certain analytic functions related with strongly close-to-convex functions. (English) Zbl 1133.30308

Summary: A class \(\widetilde {T_k} (\rho, \alpha)\) of analytic functions defined in the unit disc is introduced. This class generalizes the concept of strongly close-to-convexity. A necessary condition, distortion results, a radius problem, coefficient results and Hankel determinant problem for this class are studied.

MSC:

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