一类高阶微分方程亚纯解的增长性

详细信息

ON THE GROWTH OF MEROMORPHIC SOLUTIONS OF A CLASS OF HIGHER ORDER

摘要: 研究了高阶微分方程 $f^{(k)}+A_{k-1}f^{(k-1)}+\cdots+A_1f^{'}+A_0f=0$ 亚纯解的增长性.假设 $b\neq 0$ 是复常数，定义指标集$\mathnormal{\Lambda}=\{a|a=c_{a}b,-1
- 微分方程 /
- 亚纯函数 /
- 增长级
Abstract: The growth of meromorphic solutions of the differential equation $f^{(k)}+A_{k-1}f^{(k-1)}+\cdots+A_1f^{'}+A_0f=0$ is investigated. Suppose that $b$ is a complex constant. Define a set $\mathnormal{\Lambda}=\{a|a=c_{a}b,-1
- differential equation /
- quad meromorphic function /
- order of growth