Пусть P–класс голоморфных в единичном круге D= 1z∈ C:| z|< 1l функций f,
принимающих значения из D, т. е. f (D) C D. С точки зрения динамики отображения f …

The paper is concerned with holomorphic mappings of the unit disc into itself with two fixed
points. Two cases are considered: when one fixed point lies inside the disc and the other …

Неравенства для полиномов и их производных имеют богатую историю и
многочисленные приложения (см., например,[1]-[6]). Вместе с тем применение методов …

arXiv:1511.01662v1 [math.CV] 5 Nov 2015 Page 1 arXiv:1511.01662v1 [math.CV] 5 Nov 2015
Extremal decomposition problems in the Euclidean space KA Gulyaeva1, SI Kalmykov2, EG …

Abstract The classical Julia–Wolff–Carathéodory theorem asserts that the angular derivative
of a holomorphic self-mapping of the open unit disk (Schur function) at its boundary fixed …

We derive an asymptotic formula for the modulus (= reciprocal of capacity) of generalized
condenser whose field is an arbitrary multiply-connected domain on the complex sphere …

We establish some estimates of the angular derivatives from below for holomorphic self-
maps of the unit disk DD at one and two fixed points of the unit circle provided there is no …

The paper is concerned with evolution families of conformal mappings of the unit disc to
itself that fix an interior point and a boundary point. Conditions are obtained for the evolution …

We extend classical results by Lavrentiev and Kufarev concerning the product of the
conformal radii of planar nonoverlapping domains. We also extend relatively recent results …

On the basis of a sufficient condition for univalency and classical properties of conformal
maps new versions of Schwarz's inequalities for regular functions with free domain of …