单位圆内解析函数和整函数四则运算的精确级和精确型  

The proximate order and proximate type of the addition of entire functions and analytic functions in the unit disc

作　　者：刘杰 涂金[2] 孙乐萌 LIU Jie;TU Jin;SUN Lemeng(School of Primary Education,Yuzhang Normal University,Nanchang 330103,China;School of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,China)

机构地区：[1]豫章师范学院小学教育学院,江西南昌330103 [2]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《南昌大学学报（理科版）》2020年第4期317-322,共6页Journal of Nanchang University(Natural Science)

基　　金：江西省教育厅基金资助项目(GJJ151331)。

摘　　要：利用Nevanlianna值分布对具有精确级整函数与单位圆内的解析函数,具有相同增长级和不同型的整函数和解析函数f 1(z)与f 2(z)四则运算后的精确级、级、精确型和型进行了研究,得到了一些结果,完善了原有的一些结论。This paperinvestigates the proximate order and proximate type of f 1+f 2 of entire functions and analytic functions in the unit disc by the Nevanlinna value distribution theory,where f 1(z),f 2(z)are entire functions or analytic functionsin the unit discwith the same order and differenttype.Some results are obtained which enrich and improve some previous results.

关 键 词：整函数 解析函数 级 型 精确级 

分 类 号：O174[理学—数学]