Malmquist型差分-微分方程亚纯解的唯一性  

On Unicity of Meromorphic Solutions to Difference-Differential Equations of Malmquist Type

作　　者：张晓雪 刘婕[1] 徐丽晓 ZHANG Xiao-xue;LIU Jie;XU Li-xiao(Dezhou University School of Mathematics and Big Data,Dezhou Shandong 253023,China;Dezhou University Office of Academic Affairs,Dezhou Shandong 253023,China)

机构地区：[1]德州学院数学与大数据学院,山东德州253023 [2]德州学院教务处,山东德州253023

出　　处：《德州学院学报》2022年第6期13-19,共7页Journal of Dezhou University

摘　　要：应用Nevanlinna值分布理论研究一类Malmquist型差分-微分方程超级严格小于1的亚纯解的唯一性问题,证明该方程的亚纯解f完全由f的极点和f−e_(j)(j=1,2)的零点(不计重数)刻画,其中e_(1)和e_(2)为两个不相等的复数。In this note,we consider the uniqueness problem on meromorphic solution f of hyper-order strictly less than 1 to a certain difference-differential equation of Malmquist type by using Nevanlinna theory.It is showed that the meromorphic solution f is uniquely determined by the poles of f and the zeros of f-e_(j)(counting multiplicities)for two distinct finite complex numbers e_(1)and e_(2).

关 键 词：差分-微分方程 亚纯解 唯一性 

分 类 号：O174.52[理学—数学]