涉及分担值的亚纯函数的正规定则

Normal Criteria of Meromorphic Functions Related to a Shared Value

设F是一族区域D上的亚纯函数,k,n≥k+2为两个正整数,a(a≠0),b为两个有穷复数,对任意的f∈F,f的零点重数至少为k+1.如果对任意的f,g∈F,在区域D上有f+a(f(k))n与g+a(g(k))n分担b,则F在D上正规.

Let be a family of meromorphic functions in a domain D,and then each f∈F has zeros of multiplicity at least k＋1.Let k,n be two positive integers and n≥k＋2.Let a（a≠0）,b be two finite complex numbers,for any f,its number of zeros is k＋1 at least.Each pair of functions f and g in F,f＋a^（f（k））n and g＋a^（g（k））n shares b,ignoring multiplicity,then F is normal in D.