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Several Complex Variables and Complex Manifolds I [PDF]

open access: yes, 1982
This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field.
Mike Field, Field, Mike
openaire   +2 more sources

Angular Derivatives in Several Complex Variables [PDF]

open access: yes, 2004
1. Introduction 2. One Complex Variable 3. Julia’s Lemma 4. Lindelof Principles 5.
ABATE, MARCO, Marco Abate
openaire   +3 more sources

Lectures on Several Complex Variables [PDF]

open access: yes, 2014
This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions ...
P. Gauthier
semanticscholar   +2 more sources

Unified solution of Fekete-Szegö problem for subclasses of starlike mappings in several complex variables

Mathematica Slovaca, 2019
Let Sψ∗ $\begin{array}{} \mathcal {S}^*_\psi \end{array}$ be a subclass of starlike functions in the unit disk 𝕌, where ψ is a convex function such that ψ(0) = 1, ψ′(0) > 0, ℜ(ψ(ξ)) > 0 and ψ(𝕌) is symmetric with respect to the real axis.
Z. Tu, L. Xiong
semanticscholar   +1 more source

The Schwarzian derivative in several complex variables IV

Science in China Series A: Mathematics, 1998
The authors consider the Schwarzian derivative of a holomorphic \(n\times n\) matrix mapping \(W\) of an \(n\times n\) matrix variable \(Z\) along the direction \(Z\) and receive a necessary and sufficient condition of the transformation of this derivative to zero. [Part I: \textit{S. Gong} and \textit{C. H. FitzGerald}, Sci. China, Ser. A 36, No.
Gong, Sheng, Yu, Qihuang, Zheng, Xuean
openaire   +5 more sources

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