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二阶微分方程解的e-型级Borel方向

E-type Order Borel Direction of Solutions of Second Order Differential Equation
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摘要 研究了二阶微分方程解的e-型级Borel方向,运用角域内的Nevanlinna理论,建立了亚纯函数的e-型级Borel方向的一个充要条件,应用这一充要条件,研究了一类二阶微分方程解的e-型级Borel方向与e-型级零点收敛指数之间的关系。 In this paper, we introduce the concept of Borel direction of e-type order and give asucient and necessary condition for it. As an application,we establish the connection between the e-type ex- ponent of convergence of the zeroes and Borel direction of e-type order for the solutions of second or- der differential equation with transcendental entire function coeffcients.
作者 吴佳 陈裕先
出处 《江西科学》 2013年第5期582-585,共4页 Jiangxi Science
基金 江西省自然科学基金项目(20122BAB201006)
关键词 复振荡 e-型级Borel方向 e-型级收敛指数 Complex oscillation, Borel direction of e-type order, e-type exponent of convergence.
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参考文献11

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