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

  • 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.

     

    Abstract: The complex oscillation of meromorphic solutions of a class of higher order differential equation with meromorphic coefficients is investigated. Some properties of meromorphic solutions of equation 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.

     

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