关于一类亏函数的亏量和取最大值的亚纯函数

On a Class of Meromorphic Functions With Maximal Deficiency Sun Concerning Deficient Functions

设f(z)是下级μ<∞的亚纯函数,a_i(z)是满足T(r,a_i)=0{T(r,f)}的亚纯函数,若??δ(a_i(z),f)=1;δ(∞,f)=1, 则a)f的级λ=μ,且为正整数; b)f的亏函数总数≤μ+1; c)每一个亏量为1/μ的整数倍; d)每一个亏函数都是f的渐近函数.

Let f(z) be a meromorphic function of lower order μ<∞, a_i(z) be meromorphic functions of T(r, a_i) = o{T(r, f)}, If sum from i to δ(a_i, f)=1; δ(∞,f)=1, then a) the order λ of / is equal to u, and is a positive integer; b) the total number of deficient functions of f is≤μ+1; c) every deficiency is an integral multiple of 1/μ; d) every deficient function of / is olso an asymptotic f unction.