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A certain subclass of analytic and close-to-convex functions. (English) Zbl 1206.30035

Summary: We introduce and investigate an interesting subclass \(\mathcal K_s(h)\) of close-to-convex analytic functions in the open unit disk \(\mathbb U\). For functions belonging to the class \(\mathcal K_s(h)\), we derive several properties including (for example) coefficient bounds as well as distortion and growth theorems. The various results presented here generalize many known results.

MSC:

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