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On a powered Bohr inequality the powered Bohr radius ρ p , p ∈ (1, 2), of analytic functions f(z) =Σ k=0∞ a k z k defined on the unit disk

Conformal radius: At the interface of traditions role in the forming the Gakhov class of all holomorphic and locally univalent functions in the unit

Width of the Gakhov class over the Dirichlet space is equal to 2© 2016, Pleiades Publishing, Ltd.Gakhov class G is formed by the holomorphic and locally univalent

Classes of uniformly convex and uniformly starlike functions as dual setsIn this paper the classes of uniformly convex and uniformly starlike functions are presented

НЕЛИНЕЙНОЕ ИНТЕГРО-ДИФФЕРЕНЦИАЛЬНОЕ УРАВНЕНИЕ БАРБАШИНА С ЧАСТНОЙ ПРОИЗВОДНОЙ ВТОРОГО ПОРЯДКА

Geometric Properties of Integral Representations in the Inverse Problem of a Simple Layer Potential univalence condition (connected to the Noshiro–Varshavsky criterion) for such polynomials. We also present

ЛОГАРИФМИЧЕСКИЕ КОЭФФИЦИЕНТЫ И НОРМА ПРОИЗВОДНОЙ ШВАРЦА ГАРМОНИЧЕСКИХ ФУНКЦИЙ of this results with univalence of harmonic functions will be discussed.

Farit Gabidinovich Avkhadiev (on his 70th birthday)functions of complex variables

ПРИЛОЖЕНИЕ ЗАДАЧИ ГИЛЬБЕРТА С ЛОГАРИФМИЧЕСКИМ ВЫРОЖДЕНИЕМ ИНДЕКСА НА БЕСКОНЕЧНОСТИ К ПОСТРОЕНИЮ КОНФОРМНЫХ ОТОБРАЖЕНИЙ for existence of univalent mappings in the class is proved.

УСЛОВИЯ P-ЛИСТНОСТИ ТИПА АВХАДИЕВА-БЕККЕРА ДЛЯ ГАРМОНИЧЕСКИХ ОТОБРАЖЕНИЙ КРУГАWe obtain Avkhadiev-Becker type p-valence conditions for locally univalent harmonic mappings

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