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On meromorphic functions whose first derivatives have finitely many zeros
Author(s) -
Chang Jianming
Publication year - 2012
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bds003
Subject(s) - meromorphic function , mathematics , transcendental number , conjecture , finitely generated abelian group , pure mathematics , sequence (biology) , function (biology) , entire function , combinatorics , discrete mathematics , mathematical analysis , genetics , biology , evolutionary biology
Let f be a transcendental meromorphic function. If f ′ has finitely many zeros, then f has a sequence { z n } of fixed points such that f ′( z n )→∞. This confirms a conjecture of Bergweiler.