The Schwarzian derivative in several complex variables IV
Copyright policy )The Schwarzian derivative in several complex variables IV
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. 5, 513-523 (1993; Zbl 0786.32009)].
- Chinese Academy of Sciences China (People's Republic of)
- University of Science and Technology of China China (People's Republic of)
- Beijing Normal University China (People's Republic of)
- Beijing Normal University China (People's Republic of)
Schwarzian derivative, Holomorphic functions of several complex variables, Holomorphic mappings and correspondences, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, cross ratio, approximation of second order, Möbius translation, space of rectangular complex matrix, linear fractional mapping, holomorphic mappings, Other generalizations of analytic functions (including abstract-valued functions), Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Schwarzian derivative of high order, Other generalizations of function theory of one complex variable, holomorphic matrix mapping
Schwarzian derivative, Holomorphic functions of several complex variables, Holomorphic mappings and correspondences, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, cross ratio, approximation of second order, Möbius translation, space of rectangular complex matrix, linear fractional mapping, holomorphic mappings, Other generalizations of analytic functions (including abstract-valued functions), Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination, Schwarzian derivative of high order, Other generalizations of function theory of one complex variable, holomorphic matrix mapping
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