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math.CV2024
Nonlinear resolvents in the unit disk: geometry and dynamics
Mark Elin, Fiana Jacobzon
In this paper we present a unified approach to the study of geometric and dynamic properties of nonlinear resolvents of holomorphic generators. The idea is to apply the distortion…
math.CV2024
Multidimensional analogs of the Fekete--Szegö functional
Mark Elin, Fiana Jacobzon
In this paper we introduce the Fekete--Szegö type mapping in the open unit ball of a complex Banach space. % and study its geometric and analytical properties. All previously studi…
math.CV2024
On the hypergeometric function and families of holomorphic functions
Mark Elin, Fiana Jacobzon
In this work, we examine one two-parameter family of sets consisting of functions holomorphic in the unit disk, previously investigated by several mathematicians. We focus on the s…