Godula, Janusz; Liczberski, Piotr; Starkov, Victor V. Order of linearly invariant family of mappings in \({\mathbb{C}}^n\). (English) Zbl 1026.32032 Complex Variables, Theory Appl. 42, No. 1, 89-96 (2000). Summary: We suggest a new definition of the order of a linearly invariant family of locally biholomorphic mappings of the unit ball in \(\mathbb{C}^n\). This definition is equivalent to the one given by Pfaltzgraff in [J. A. Pfaltzgraff, Complex Variables, Theory Appl. 33, 239-253 (1997; Zbl 0912.32017)]. It bases on a very simple relationship with the Jacobian of the mapping (see Corollary 1). It appears that the order of a mapping depends only on its Jacobian (see Proposition 1). Cited in 5 Documents MSC: 32H02 Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables Keywords:order; linearly invariant family of locally biholomorphic mappings; unit ball; Jacobian Citations:Zbl 0912.32017 PDFBibTeX XMLCite \textit{J. Godula} et al., Complex Variables, Theory Appl. 42, No. 1, 89--96 (2000; Zbl 1026.32032) Full Text: DOI