Exceptional Functions and Normality | Zendy

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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.

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