Loewner chains associated with the generalized Roper-Suffridge extension operator on some domains

DOI10.1016/j.jmaa.2007.04.044zbMath1133.32001OpenAlexW1994254343MaRDI QIDQ2473806

Ming-Sheng Liu, Yu-Can Zhu

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.04.044

zbMATH Keywords

Loewner chainRoper-Suffridge extension operatorbiholomorphic starlike mappingspirallike of type \(\alpha \)

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 (7)

Loewner chain associated with the modified Roper-Suffridge extension operator ⋮ The subordination principle and its application to the generalized Roper-Suffridge extension operator ⋮ Extreme points, support points and the Loewner variation in several complex variables ⋮ Extension operators and subordination chains ⋮ The generalized Roper-Suffridge extension operator on bounded complete Reinhardt domains ⋮ Analytic and geometric properties associated with some extension operators ⋮ The generalized Roper-Suffridge extension operator in Banach spaces. III

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