与其二阶导数具有公共小函数的整函数  

When an entire function and its 2-th derivative share two small functions

作　　者：林秀清[1] 邱淦俤[1] 

机构地区：[1]宁德师范学院数学系,福建宁德352100

出　　处：《宁德师范学院学报（自然科学版）》2015年第3期225-231,共7页Journal of Ningde Normal University(Natural Science)

基　　金：福建省教育厅省属高校科研专项计划(JK2012059)

摘　　要：研究整函数与其导数具有公共小函数时的唯一性问题,在k=2情形证明了G.Frank猜想中两个有穷的IM公共值条件可减弱为两个IM公共小函数.In this paper, the problem of uniqueness of an entire function and its 2-th derivative is studied. We have resolved the question when the condition of Frank＇s conjecture is replaced by assuming that f and f share two small functions .

关 键 词：亚纯函数 整函数 小函数 唯一性 

分 类 号：O174.52[理学—数学]