| 复线性微分方程解的级 |
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| 引用本文： | 张政,伍鹏程. 复线性微分方程解的级[J]. 贵州师范大学学报(自然科学版), 2011, 29(4): 42-45,68 |
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| 作者姓名： | 张政 伍鹏程 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵州贵阳,550001 |
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| 基金项目： | Supported by The Foundation of Science and Technology of Guizhou Province(Grant No.2010[07]) |
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| 摘 要： | 设f1，f2五是复线性微分方程f″＋A（z）f=0的任意两个线性无关解，令E（。）=m，在本文中我们将考察E（z）的增长级与亚纯函数A（z）的增长级之间的关系．关于高阶复线性微分方程f（k）＋Ak-1（z）f（k-1）＋…＋A1（z）f＇＋A0（z）f=0，当该方程的非平凡解的增长级和零点序列的收敛指数满足特定关系时，...
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| 关 键 词： | 亏值 级 零点序列的收敛指数 |
Order of solutions of complex linear differential equations |
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| ZHANG Zheng,WU Peng-cheng. Order of solutions of complex linear differential equations[J]. Journal of Guizhou Normal University(Natural Sciences), 2011, 29(4): 42-45,68 |
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| Authors: | ZHANG Zheng WU Peng-cheng |
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| Affiliation: | ZHANG Zheng,WU Peng-cheng(School of Mathematics and Computer Science,Guizhou Normal University,Guiyang,550001,China) |
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| Abstract: | In this paper,we will investigate the relation between the order of E（z） and the order of meromorphic function A （z） , where E （z） = f1f2 andf1 , f2 are any two linearly independent solutions of the complex differential equationf″ ＋ A（z）f = 0. With regard to the equationf（k） ＋ Ak-1 （z）f（k-1） ＋ … ＋ A1（z）f＇ ＋ A0（z）f = 0, we will investigate the relations among the orders of A0（z）,A1（z）, Ak-1 （z） when order and the exponent of convergence of zero -sequence of non-trivial solutions of the equation satisfy certain conditions. |
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| Keywords: | deficient value order exponent of convergence of zero-sequence |
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