| 亚纯函数系数微分方程的解和小函数的关系 |
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| 引用本文： | 徐洪淼,沈霞,曹廷彬.亚纯函数系数微分方程的解和小函数的关系[J].数学的实践与认识,2010,40(15). |
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| 作者姓名： | 徐洪淼 沈霞 曹廷彬 |
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| 基金项目： | 江西省教育厅青年科学基金，景德镇陶瓷学院院自选资助项目 |
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| 摘 要： | 研究了一类亚纯函数为系数的二阶非齐次线性微分方程的解及其微分多项式和小函数的关系,并得到了这类微分方程解以及解的一阶,二阶导数与微分多项式的不动点性质.
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| 关 键 词： | 亚纯函数 微分方程 微分多项式 小函数 |
The Relation Between Solutions of Some Differential Equations with Meromorphic Function Coefficients and Functions of Small Growth |
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| XU Hong-yan,SHEN Xia,CAO Ting-bin.The Relation Between Solutions of Some Differential Equations with Meromorphic Function Coefficients and Functions of Small Growth[J].Mathematics in Practice and Theory,2010,40(15). |
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| Authors: | XU Hong-yan SHEN Xia CAO Ting-bin |
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| Abstract: | This paper investigates the relation between solutions and their differential polynomial of a class of second order non-homogeneous linear differential equation with meromorphic functions coefficients and functions of small growth.We can draw the conclusion that the properties of the fixed points of the solutions and their derivatives and their differential polynomials of the second order homogeneous linear differential equations are very interesting. |
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| Keywords: | meromorphic function complex differential equation differential polynomial small function |
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