A generalization of a class of close-to-convex functions
Matematičeskie zametki, Tome 11 (1972) no. 5, pp. 509-516
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We consider a class of functions, including the Bazilevich functions, which are regular in the unit disk. The theorems of Levandovskii identifying the class of close-to-convex functions with the class of linearly accessible functions are generalized, and the geometric structure of this class is established. A method constructing a subordinating homotopy chain is used.