Parabolic starlike mappings in several complex variables

DOI10.1007/S00229-007-0098-YzbMath1131.32009OpenAlexW2034709246MaRDI QIDQ2385057

Gabriela Kohr, Tatsuhiro Honda, Hidetaka Hamada

Publication date: 11 October 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-007-0098-y

zbMATH Keywords

covering theoremsubordination chainstarlike mappinggrowth theoremcoefficient estimateparabolic starlike mapping

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) Special families of functions of several complex variables (32A17)

Related Items (15)

Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\) ⋮ Sharp growth theorems and coefficient bounds for starlike mappings in several complex variables ⋮ Almost spirallike mappings of type and complex order on the unit ball ⋮ An application of hypergeometric functions to a construction in several complex variables ⋮ Embedding theorems and extremal problems for holomorphic functions on circular domains of ℂⁿ ⋮ Solutions for the generalized Loewner differential equation in several complex variables ⋮ On some classes of bounded univalent mappings in several complex variables ⋮ Bavrin's type factorization of the Temljakov operator for holomorphic functions in circular domains of \(\mathbb {C}^{n}\) ⋮ \(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces ⋮ Some results of Fekete-Szegö type for Bavrin's families of holomorphic functions in \(\mathbb{C}^n\) ⋮ Properties of new holomorphic mappings with respect to conic domains ⋮ The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces ⋮ Coefficient bounds for biholomorphic mappings which have a parametric representation ⋮ A new inclusion for Bavrin's families of holomorphic functions in n-circular domains ⋮ Subclasses of biholomorphic mappings associated withg-Loewner chains on the unit ball in ℂⁿ

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• Convexity properties of holomorphic mappings in ℂⁿ
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• Parametric Representation of Univalent Mappings in Several Complex Variables
• On the Coefficients of Subordinate Functions

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