具有Fabry缺项级数系数的一类高阶微分方程解的复振荡  

COMPLEX OSCILLATION OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATION WITH ONE FABRY GAP SERIES COEFFICIENT

作　　者：闫焕民[1] 陈宗煊[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2009年第3期5-8,共4页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10871076);广东省自然科学基金资助项目(06025059)

摘　　要：研究了亚纯系数高阶微分方程亚纯解的复振荡问题.当存在某个系数为Fabry缺项级数并对方程的解的性质起主要支配作用时,得到了方程亚纯解的性质以及与小函数的关系.The complex oscillation of meromorphic solutions of a class of higher order differential equations with meromorphic coefficients is investigated. Some properties of meromorphic solutions and the relation between meromorphic solutions and functions of small growth are obtained, when there is one coefficient being one Fabry gap series which is dominating to the properties of the solutions.

关 键 词：亚纯函数 收敛指数 小函数 Fabry缺项级数 

分 类 号：O174.52[理学—数学]