关于亚纯函数的[p,q]级Borel方向、充满圆、例外值  

On Borel direction,full circle and exceptional value of [p,q] order of meromorphic functions

作　　者：刘建明 向旭旭 曾三桂 LIU Jianming;XIANG Xuxu;ZENG Sangui(School of Mathematical Sciences,Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2024年第6期67-73,共7页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金项目(12261023、11861023);贵州师范大学学术新苗培养及创新探索专项项目(黔科合平台人才[2018]5769-05号)。

摘　　要：利用亚纯函数的Nevanlinna理论和亚纯函数[p,q]级的定义,讨论了亚纯函数的[p,q]级充满圆和Borel方向的存在性、Borel方向与充满圆之间的关系,同时考虑了亚纯函数的[p,q]级Borel例外值的相关性质。In this paper,the existence of Borel direction and full-circle of [p,q]-order of meromorphic functions is studied by using the concept of [p,q]-order and the Nevanlinna value distribution theory and the relationship between Borel directions and filled circles are discussed.At the same time,the related properties of Borel exceptional values of [p,q]-order of meromorphic functions are considered.

关 键 词：亚纯函数 [p q]级 BOREL例外值 充满圆 BOREL方向 

分 类 号：O174.52[理学—数学]