整函数与其K阶导数分担两个小函数  

Entire Function f and f^(k) Shares Two Small Functions

作　　者：王品玲[1] 田宏根[2] 

机构地区：[1]南京理工大学理学院应用数学系,210094 [2]新疆师范大学数理信息学院,乌鲁木齐830054

出　　处：《新疆师范大学学报（自然科学版）》2003年第2期4-8,共5页Journal of Xinjiang Normal University(Natural Sciences Edition)

摘　　要：本文研究了整函数f与其k阶导数f^(k)IM分担两个小函数的问题,证明了若非常数整函数f与其k阶导数f^(k)IM分担两个不同小函数a和b,且f的零点重数大于等于k+1,则f=f^(k)。The purpose of this paper is to study a problem that entire function f and its k-th derivative f(k) share two small functions IM,and the following theorm is proved: Let f be a nonconstant entire functions and b,be two no-zero of f that has muitiplicity at least k + 1,then f=f(k).

关 键 词：整函数 小函数 IM分担值 CM分担值 导数 公共零点 重数 

分 类 号：O174.52[理学—数学]