整函数与微分多项式涉及慢增长函数的唯一性  

Unicity theorem for entire function and its differential polynomial

作　　者：李江涛[1,2] 罗中函[1,2] 

机构地区：[1]重庆大学应用数学系 [2]重庆工业管理学院基础系

出　　处：《西南师范大学学报（自然科学版）》1997年第6期604-609,共6页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：证明了整函数及其线性微分多项式若ＣＭ分享两个互为判别的慢增长函数必然恒等．The following theorem is proved:Let f(z) be a nonconstant entire function and P(f)=f (n) (z)+a 1(z)f (n-1) (z)+…+a n(z)f(z),where a 1(z),a 2(z),…,a n(z) are entire function growing slowly and n is a positive integer.If f(z) and P(f)CM share two unequal meromorphic functions growing slowly,then f≡P(f).

关 键 词：值分布 微分多项式 慢增长函数 整函数 

分 类 号：O174.52[理学—数学]