10 citations · 39 across the 30 of their papers we have counts for
33 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 studi…
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…
Survey on filtrations (parametric embeddings) of infinitesimal generators
Mark Elin, Fiana Jacobzon
This work is devoted to the so-called filtration theory of semigroup generators in the unit disk. It should be noted that numerous filtrations studied to nowdays have been introduc…