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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
【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。
【Abstract】 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 exponent of convergence of the zeroes and Borel direction of e-type order for the solutions of second order differential equation with transcendental entire function coeffcients.
【关键词】 复振荡;
e-型级Borel方向;
e-型级收敛指数;
【Key words】 Complex oscillation; Borel direction of e-type order; e-type exponent of convergence;
【Key words】 Complex oscillation; Borel direction of e-type order; e-type exponent of convergence;
【基金】 江西省自然科学基金项目(20122BAB201006)
- 【文献出处】 江西科学 ,Jiangxi Science , 编辑部邮箱 ,2013年05期
- 【分类号】O175
- 【下载频次】43