n阶复微分-差分方程的超越整函数解  

Transcendental entire solutions of the n-th order complex differential-difference equations

作　　者：刘镡镁 陈省江 LIU Xin-mei;CHEN Sheng-jiang(School of Mathematics and Statistics,Fujian Normal University,Fuzhou,Fujian 350117,China;College of Mathematics and Physics,Ningde Normal University,Ningde,Fujian 352100,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117 [2]宁德师范学院数理学院,福建宁德352100

出　　处：《宁德师范学院学报（自然科学版）》2022年第4期354-357,388,共5页Journal of Ningde Normal University(Natural Science)

基　　金：国家自然科学基金项目(12001211);宁德师范学院科研创新团队(2019T01);宁德师范学院科研人才引进项目(2020Y03)。

摘　　要：利用Nevanlinna值分布理论,把复差分方程及微分方程结合起来,研究一类n阶复微分-差分方程w^((n))(z)^(2)+w(z+c)^(2)=Q(z),若出现有限级超越整函数解的情况.进一步推广刘曼莉和刘凯等的结论.By using Nevanlinna value distribution theory and combining the complex difference equations with differential equations,we investigate whether a class of the n-th order complex differential-difference equations w^((n))(z)^(2)+w(z+c)^(2)=Q(z)have transcendental entire solutions with finite order or not.Our result extends and improves the results due to LIU Manli and LIU Kai et al.

关 键 词：超越整函数 NEVANLINNA值分布理论 复微分-差分方程 

分 类 号：O174.52[理学—数学]