Coefficient body for nonlinear resolvents

DOI10.17951/a.2019.73.2.45-57zbMath1439.30036OpenAlexW3001607466MaRDI QIDQ5211683

Fiana Yacobzon, Mark Elin

Publication date: 28 January 2020

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17951/a.2019.73.2.45-57

zbMATH Keywords

holomorphic functioninfinitesimal generatornonlinear resolventSchur parameter

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items

Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\), Families of inverse functions: coefficient bodies and the Fekete-Szegö problem

Cites Work

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• Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
• I. Schur methods in operator theory and signal processing
• Semigroups of analytic functions and composition operators
• Schur parameters and the Carathéodory class
• Geometric properties of the nonlinear resolvent of holomorphic generators
• Invariant differential operators associated with a conformal metric
• Five interpretations of Fa\`a di Bruno's formula
• Hyperbolically convex functions
• Applications of Livingston‐type inequalities to the generalized Zalcman functional
• Metric domains, holomorphic mappings and nonlinear semigroups