有穷对数φ级整函数系数线性微分方程解的增长性  

On the Growth of Solutions of Linear Differential Equations with Entire Coefficients of Finite Logarithmic φ Order

作　　者：伍廷蜜 龙见仁 吴秀碧 覃智高 WU Ting-mi;LONG Jian-ren;WU Xiu-bi;QIN Zhi-gao(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550001,China)

机构地区：[1]贵州师范大学数学科学学院,贵阳550001

出　　处：《西南大学学报（自然科学版）》2018年第8期102-109,共8页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11501142);贵州省科学技术基金项目(黔科合J字[2015]2112号);贵州师范大学2016年博士科研启动项目;2016年度贵州省"千"层次创新型人才项目

摘　　要：利用亚纯函数的Nevanlinna理论研究了有穷对数φ级整函数系数线性微分方程解的增长性,得到了解的增长级与系数的对数φ级之间的一些关系.The growth of solutions of linear differential equations with entire coefficients of finite logarithmicφorder is investigated by using Nevanlinna theory of meromorphic functions,and the relationships between the order of growth of solutions of the equations and the logarithmicφorder of coefficients are obtained.

关 键 词：线性微分方程 整函数 对数φ级 NEVANLINNA理论 增长级 

分 类 号：O174.5[理学—数学]