Bloch's principle

Details Bloch's principle Bloch's principle

2005-11-02

arxiv.org/abs/math/0511048v1

Comput. Methods Funct. Theory 6 (2006), 77-108.

Mathematics

Complex Variables

30 pages

Scientific paper

A heuristic principle attributed to A. Bloch says that a family of holomorphic functions is likely to be normal if there is no nonconstant entire functions with this property. We discuss this principle and survey recent results that have been obtained in connection with it. We pay special attention to properties related to exceptional values of derivatives and existence of fixed points and periodic points, but we also discuss some other instances of the principle.

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