| 关于二阶复微分方程f″(z)+A(z)f(z)=0解的非实零点的研究 |
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| 引用本文： | 邱克娥,龙见仁. 关于二阶复微分方程f″(z)+A(z)f(z)=0解的非实零点的研究[J]. 贵州师范大学学报(自然科学版), 2012, 30(3): 60-63 |
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| 作者姓名： | 邱克娥 龙见仁 |
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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： | 国家自然科学基金，贵州省科学技术基金 |
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| 摘 要： | 考虑二阶复微分方程f″+A(z)f=0解的非实零点的收敛指数与解的增长级之间的关系,其中A(z)是多项式,给出方程非零解的非实零点序列的收敛指数等于增长级的一个充分条件.
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| 关 键 词： | 非实零点 零点收敛指数 亏值 |
On the exponent of convergence of the nonreal zero-sequence of a solution of second order linear differential equation |
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| QIU Ke-e,LONG Jian-ren. On the exponent of convergence of the nonreal zero-sequence of a solution of second order linear differential equation[J]. Journal of Guizhou Normal University(Natural Sciences), 2012, 30(3): 60-63 |
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| Authors: | QIU Ke-e LONG Jian-ren |
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| Affiliation: | (School of Mathematics and Computer Science,Guizhou Normal University,Guiyang,Guizhou 550001,China) |
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| Abstract: | This paper deals with the differential equationf″+Azf=0,where Az is a polynomial.Some results concerning the estimates of the growth and the exponent of convergence of the nonreal zero-sequence of a solution of the equation restricted in some conditions are obtained. |
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| Keywords: | nonreal zeros exponent of convergence of zero-sequence deficient value |
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