Abstract: We obtain a number of the uniqueness criteria for the critical point of the conformal radius in the form of the subordination of pre-Schwarzian derivative both to functions of well-known subclasses in the geometric ...

© 2019, Pleiades Publishing, Ltd. We find an example of a situation when the exit from Gakhov’s class along some parametrical family of functions is connected with boundary bifurcation of the Gakhov equation. The corresponding ...

© 2017, Pleiades Publishing, Ltd.Strict superharmonicity of generalized reduced module as a function of a point (we call it Mityuk’s function) is established for the subclass of countably connected domains with unique limit ...