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Virtually Repelling Fixed Points
In this article, we study the notion of virtually repelling fixed point. We first give a definition and an interpretation of it. We then prove that most proper holomorphic mappings f : U → V with U contained in V have at least one virtually repelling fixed point. 1. Preliminaries Let f : (C, α) → (C, α) be a holomorphic germ fixing α. Definition 1. The multiplicity m of α as a fixed point of f ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2011-05280-3