Parametric representation and extension operators for biholomorphic mappings on some Reinhardt domains

DOI10.1080/02781070500086636zbMath1083.32013OpenAlexW1993322603MaRDI QIDQ5719104

Gabriela Kohr, Mirela Kohr, Hidetaka Hamada

Publication date: 17 January 2006

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070500086636

zbMATH Keywords

subordinationLoewner chainRoper-Suffridge extension operatorstarlike mappingconvex mappingPfaltzgraff-Suffridge extension operator

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)

Related Items (5)

The Roper-Suffridge extension operator and classes of biholomorphic mappings ⋮ Extreme points, support points and \(g\)-Loewner chains associated with Roper-Suffridge and Pfaltzgraff-Suffridge extension operators ⋮ g −Loewner chain associated with Muir-type extension operator ⋮ Analytic and geometric properties associated with some extension operators ⋮ Extension operators preserving Janowski classes of univalent functions

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