线性微分方程亚纯解的Baker游荡域  

Baker Wandering Domain of Meromorphic Solutions of Linear Differential Equations

作　　者：童英 龙芳 王珺[3] TONG Ying;LONG Fang;WANG Jun(Shanghai Shibei Junior Middle School,Shanghai 200070,China;Department of Basic Courses,Jiangxi Province Machinery Senior Technician School,Nanchang,Jiangxi 330013,China;School of Mathematical Sciences,Fudan University,Shanghai 200433,China)

机构地区：[1]上海市市北初级中学,上海200070 [2]江西省机械高级技工学校基础课部,江西南昌330013 [3]复旦大学数学科学学院,上海200433

出　　处：《复旦学报（自然科学版）》2022年第2期205-208,215,共5页Journal of Fudan University：Natural Science

基　　金：国家自然科学基金(11771090);上海市自然科学基金(17ZR1402900)。

摘　　要：利用Nevanlinna理论研究了一类线性微分方程解的Baker游荡域存在性。当方程系数具有非超越方向且关于无穷远点的亏量大于零时,该类方程的只有有穷多个极点的超越亚纯解没有Baker游荡域。The existence of Baker wandering domain of solutions of linear differential equations is investigated by the Nevanlinna theory. When the coefficients have nontranscendental directions and positive deficiency of ∞, the transcendental meromorphic solutions of finitely many poles have no Baker wandering domains.

关 键 词：线性微分方程 超越方向 Baker游荡域 

分 类 号：O174.52[理学—数学]