A generalization of a class of close-to-convex functions

  • D. V. Prokhorov
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Abstract

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.

Keywords

Unit Disk Geometric Structure Accessible Function Homotopy Chain 
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Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • D. V. Prokhorov

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