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Seminar on Complex Analysis (Gonchar Seminar)
February 13, 2017 17:00, Moscow, Steklov Mathematical Institute, Room 411 (8 Gubkina)
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On holomorphic mappings of a strip into itself with bounded distortion at infinity points
V. V. Goryainov
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
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Abstract:
We study a class of holomorphic mappings of the strip, symmetric with respect to the real axis, into itself. It is supposed that mappings have bounded deviation from the identity transformation on the real axis. We have obtained distortion theorems for the class of functions and indicated univalence domains that arise when certain values of the parameter characterizing the deviation of the mapping from the identity transformation on the real axis.
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