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This article is cited in 1 scientific paper (total in 1 paper)
A generalization of a class of close-to-convex functions
D. V. Prokhorov
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.
Received: 08.04.1971
Citation:
D. V. Prokhorov, “A generalization of a class of close-to-convex functions”, Mat. Zametki, 11:5 (1972), 509–516; Math. Notes, 11:5 (1972), 311–315
Linking options:
https://www.mathnet.ru/eng/mzm9817 https://www.mathnet.ru/eng/mzm/v11/i5/p509
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Abstract page: | 219 | Full-text PDF : | 89 | First page: | 1 |
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