整函数的值分布  

The Solutions Distribution of Integral Function

作　　者：杨吉英 叶枝宏 后圆圆 YANG Ji-ying;YE Zhi-hong;KOU Yuan-yuan(Department of Mathematics,Baoshan University,Baoshan 678000,China;Department of Mathematics and Statistics,Puer University,Puer 665000,China)

机构地区：[1]保山学院数学学院,云南保山678000 [2]普洱学院数学与统计学院,云南普洱665000

出　　处：《数学的实践与认识》2022年第10期223-226,共4页Mathematics in Practice and Theory

基　　金：云南省科技厅应用基础研究项目(2017FD140);云南省教育厅科学研究基金(2012C170)。

摘　　要：得到如果整函数f(z)满足f(z)=w_(n),(其中w_(n)为无界数列)的根只分布于角域∪_(k=0)^(m-1)Ω^(-)(2kπ/m,2k+1/mπ)上,则f(z)为次数为2m或者次数不超过m的多项式,此结果改进了乔建永关于满足上述条件的整函数退化为次数不超过2m的多项式的结果.the objective of this paper is to study if the solutions of integral function f(z)which satisfies f(z)=w_(n)(w_(n) is unbound sequence of number)distribute in∪_(k=0)^(m-1)Ω^(-)(2kπ/m,2k+1/mπ)then f(z)is a polynomial which the power is 2m or less than m.the results essentially add to Qiao yongjian's findings,that is when the integral function satisfies the above-mentioned conditions,it degenerates a polynomial which the power is less than 2m.

关 键 词：整函数 角域 无界数列 多项式及多项式次数 

分 类 号：O174[理学—数学]