摘要
得到了若整函数与其导函数具有两对ＣＭ公共小函数对，二者有简单的线性关系；用线性微分多项式替换导函数。
The following results are proved:Let f be a non constant entire function, k be a positive integer.And let a 1,a 2,b 1,b 2 be small meromorphic functions of f such that none of them is identically equal to ∞ and a 1a 2,b 1b 2 .If f and f (k) share two pairs of small functions (a 1,b 1),(a 2,b 2) CM,then (a 2-a 1)f (k) -(b 2-b 1)f≡a 2b 1-a 1b 2 . The result is still true if f (k) is replaced by L(f)=c kf (k) +c k-1 f (k-1) +…+c 0f ,where c j(j=0,1,…k) are small meromorphic functions of f such that none of them is identically equal to ∞ and c k0.
出处
《山东大学学报（自然科学版）》
CSCD
1999年第2期134-138,共5页
Journal of Shandong University(Natural Science Edition)
基金
国家自然科学基金
高校博士点基金
关键词
整函数
CM公共小函数对
唯一性
导数
entire function
share pair of small functions CM
uniqueness
