5 papers
Nonlinear resolvents: distortion and order of starlikeness
Mark Elin
This paper presents a new approach to studying nonlinear resolvents of holomorphically accretive mappings on the open unit ball of a complex Banach space. We establish a distortion…
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…
Non-linear resolvents of holomorphically accretive mappings
Mark Elin
In this paper, we present new results on holomorphically accretive mappings and their resolvents defined on the open unit ball of a complex Banach space. We employ a unified approa…
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 stud…
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…