关键词: 亚纯函数, 分担值, 正规族

Abstract:

Let k be a positive integer, a(z)(0,∞) be meromorphic functions on a domain D, F be a family of meromorphic functions on D, all of whose zeros have multiplicity at least k. If, for each f∈F, f(z)=0⇔f^(k)(z)=a(z)⇒0<|f^(k+1)(z)-a'(z)|<|a(z)|, then F is normal on D.

Key words: Meromorphic function, Shared values, Normal family