On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients
On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients
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DOI：
10.1155/2014/305710
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发表时间：
2014-04
影响因子：
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通讯作者：
J. Long;Chunhui Qiu;Pengcheng Wu
中科院分区：
文献类型：
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作者：
J. Long;Chunhui Qiu;Pengcheng Wu
本文考虑线性微分方程，其中，是整函数。假设存在，使得是杨不等式的极值，则我们将给出关于其它系数的一些条件，这些条件可以保证方程的每一个解都是无穷级的。更具体地说，我们估计了超阶的下界，如果方程的每个解是无限级的。
We consider that the linear differential equations , where , are entire functions. Assume that there exists , such that is extremal for Yang's inequality; then we will give some conditions on other coefficients which can guarantee that every solution of the equation is of infinite order. More specifically, we estimate the lower bound of hyperorder of if every solution of the equation is of infinite order.