Author: Zalcman, L.
Description: This paper surveys some surprising applications of a lemma characterizing normal families of meromorphic functions on plane domains. These include short and efficient proofs of generalizations of (i) the Picard Theorems, (ii) Gol’dberg’s Theorem (a meromorphic function on which is the solution of a first-order algebraic differential equation has finite order), and (iii) the Fatou-Julia Theorem (the Julia set of a rational function of degree is the closure of the repelling periodic points). We also discuss Bloch’s Principle and provide simple solutions to some problems of Hayman connected with this principle. – See more at: http://www.ams.org/journals/bull/1998-35-03/S0273-0979-98-00755-1/#sthash.RKdTke4C.dpuf
Subject headings: Lemma; Normal families; Bloch’s Principle
Publication year: 1998
Journal or book title: Bulletin of the American Mathematical Society
Volume: 35
Issue: 03
Pages: 215-231
Find the full text :Â https://www.ams.org/bull/1998-35-03/S0273-0979-98-00755-1/
Find more like this one (cited by): https://scholar.google.com/scholar?cites=4349248777677789057&as_sdt=1000005&sciodt=0,16&hl=en
Type: Journal Article
Serial number: 861