| 有限迭代级整系数线性微分方程解的性质 |
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| 引用本文： | 张晓梅,孙道椿.有限迭代级整系数线性微分方程解的性质[J].纯粹数学与应用数学,2009,25(2):237-243. |
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| 作者姓名： | 张晓梅 孙道椿 |
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| 作者单位： | 华南师范大学数学科学学院,广东,广州,510631 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 研究了有限迭代级整系数的复线性微分方程，应用Nevalinna和Ahlfors的角域理论，得到了有关解的迭代级，零点迭代收敛指数以及角域中的零点分布的结果．
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| 关 键 词： | 微分方程 迭代级 迭代收敛指数 角域分布 |
The properties of solutions of linear differential equations with entire coefficients of finite iterated order |
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| ZHANG Xiao-mei,SUN Dao-chun.The properties of solutions of linear differential equations with entire coefficients of finite iterated order[J].Pure and Applied Mathematics,2009,25(2):237-243. |
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| Authors: | ZHANG Xiao-mei SUN Dao-chun |
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| Institution: | ZHANG Xiao-mei,SUN Dao-chun (School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | The complex linear differential equations with entire coefficients of finite iterated order are investigated. By applying the theory in an angular domain of Nevalinna and Ahlfors, some results concerning the iterated order of solutions, the iterated convergence exponent of the zeros of solutions and the zeros distribution of solutions in an angular domain are given. |
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| Keywords: | differential equation iterated order iterated convergence exponent angular distribution |
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