New subclasses of biholomorphic mappings and the modified Roper-Suffridge operator

DOI10.1007/s11401-016-1005-1zbMath1352.32003OpenAlexW2512506998MaRDI QIDQ335037

Hao Liu, Chaojun Wang, Yan Yan Cui

Publication date: 2 November 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-1005-1

zbMATH Keywords

biholomorphic mappingsRoper-Suffridge operatorspiral-like mappingsstar-like mappings

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Other generalizations of function theory of one complex variable (32A30)

Related Items (3)

Convex mappings associated with the Roper-Suffridge extension operator ⋮ Extension operators preserving Janowski classes of univalent functions ⋮ The Muir extension operator and Janowski univalent functions

Cites Work

• A modified Roper-Suffridge operator for some subclasses of starlike mappings on Reinhardt domains
• A modification of the Roper-Suffridge extension operator
• Extension operators for locally univalent mappings
• Loewner chains and the Roper-Suffridge extension operator
• Univalent mappings associated with the Roper-Suffridge extension operator
• Convex mappings on the unit ball of \(\mathbb C^ n\)
• Bloch constants in one and several variables
• Modified Roper-Suffridge operator for some holomorphic mappings
• A class of Loewner chain preserving extension operators
• Extreme points for convex mappings of \(B_n \)
• Unbounded convex mappings of the ball in $\mathbb {C}^n$
• The generalized Roper-Suffridge extension operator
• The generalized Roper-Suffridge extension operator
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