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.
@article{MZM_1972_11_5_a4,
author = {D. V. Prokhorov},
title = {A generalization of a class of close-to-convex functions},
journal = {Matemati\v{c}eskie zametki},
pages = {509--516},
publisher = {mathdoc},
volume = {11},
number = {5},
year = {1972},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_5_a4/}
}
D. V. Prokhorov. A generalization of a class of close-to-convex functions. Matematičeskie zametki, Tome 11 (1972) no. 5, pp. 509-516. http://geodesic.mathdoc.fr/item/MZM_1972_11_5_a4/