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Exceptional Functions and Normality
Author(s) -
Schwick Wilhelm
Publication year - 1997
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/s0024609396007102
Subject(s) - mathematics , normality , meromorphic function , mathematics subject classification , domain (mathematical analysis) , integer (computer science) , normal family , combinatorics , discrete mathematics , pure mathematics , mathematical analysis , statistics , computer science , programming language
Yang proved in [ 10 ] that if f and f ( k ) have no fix‐points for every f ∈ F , where F is a family of meromorphic functions in a domain G and k a fixed integer, then F is normal in G . In this paper we prove normality for families F for which every f ∈ F omits ψ 1 and f ( k ) omits ψ 2 , where ψ 1 and ψ 2 are analytic functions withψ 1 ( k ) ≢ ψ 2 . 1991 Mathematics Subject Classification 30D35, 30D45.