摘要
讨论了一些超越整函数亏量间的关系 .如果f1(z) ,f2 (z) ,… ,fp(z)都是超越整函数 ,a1,a2 ,… ,ap都是非零有限复数 ,并且 pj=1ajfj ≡ 1,则 Pj=1δ(0 ,fj) ≤p- 1.这里δ(0 ,fj) =1-limr→ +∞N r ,1fjT r ,fj(j=1,2 ,… ,p) .这个结果改进了Niino和Ozawa的一个结果 .
In this paper, we study the deficient relation of some transcendental entire functions. If f j(z)(j=1,2,...,p) be transcendental entire functions, and let a j(j=1,2,...,p) be nonzero finite complex numbers. If ∑pj=1a jf j(z)≡1 , then ∑pj=1δ p-1 (0,f j)≤p-1, where δ p-1 (0,f j)=1- lim r→∞N p-1 (r,1/f j)T(r,f j) (j=1,2,...,p). The result improves a result of Niino and Ozawa. Meanwhile we give some applications of our result.
基金
TheprojectsupportedbytheNationalNaturalScienceFoundationofChina ( 10 0 710 38)
theNationalScienceFoundationofEducationalDepartmentofJiangsuProvince(OOKJB110 0 0 4)
关键词
整函数
亚纯函数
亏量
entire function, meromorphic function, deficiency
