Extension operators preserving Janowski classes of univalent functions

DOI10.11650/TJM/190407zbMath1436.32061OpenAlexW2942923043MaRDI QIDQ2300684

A. Manu

Publication date: 28 February 2020

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1556848821

zbMATH Keywords

\(g\)-Loewner chainRoper-suffridge extension operatorJanowski starlikeness

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Cites Work

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• New subclasses of biholomorphic mappings and the modified Roper-Suffridge operator
• An extension operator associated with certain \(G\)-Loewner chains
• Janowski starlikeness in several complex variables and complex Hilbert spaces
• Solution of a Loewner chain equation in several complex variables
• The generalized Roper-Suffridge extension operator for some biholomorphic mappings
• Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables
• Solutions for the generalized Loewner differential equation in several complex variables
• The generalized Roper-Suffridge extension operator on Reinhardt domain \(D_p\)
• Löwner chains and a subclass of biholomorphic mappings
• Extension of convex mappings of order \(\alpha \) of the unit disk in \(\mathbb C\) to convex mappings of the unit ball in \(\mathbb C^n\)
• Extension operators for locally univalent mappings
• Loewner chains and parametric representation in several complex variables
• Loewner chains and the Roper-Suffridge extension operator
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• Subordination chains and univalence of holomorphic mappings in C\(^n\)
• An Extension Theorem and Subclasses of Univalent Mappings in Several Complex Variables
• Subclasses of Starlike Functions Subordinate to Convex Functions
• Parametric Representation of Univalent Mappings in Several Complex Variables
• Some extremal problems for certain families of analytic functions I
• Subclasses of biholomorphic mappings associated withg-Loewner chains on the unit ball in ℂⁿ
• Parametric representation and extension operators for biholomorphic mappings on some Reinhardt domains

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