In chapter 2 , we study the further results on the properties of growth of solutions of one kind of higher order linear differential equations with entire coefficients , when there is one coefficient that is main dominating to the properties of the solutions , we obtain precise estimate of hyper - order of solutions of equations either homogeneous or non - homogeneous and relations between the solutions and functions with smaller growth 本文研究了某些高阶线性微分方程解的增长性问题。其中第二章研究了一类高阶整函数系数微分方程解的增长性的进一步结果，当存在某个系数对方程的解的性质起主要支配作用时，得到了齐次与非齐次方程解的超级的精确估计及方程的解与小函数的关系。
Instead of the usual good morning greeting when she wakes up , i have been saying gongxi gongxi to her in folded hands . with such intensive drill , i am confident collecting hongbaos will be a piece of cake . besides , to make sure she grows up with fond memories of chinese new year , i plan to involve her in spring - cleaning , making delicacies , growing narcissus and writing couplets 今年女儿已长成会指着衣柜坚持要穿“美美”的两岁小娃娃,最近她一睁开眼睛,我就将平日元气十足的“早安”问候语换成两手抱拳的“恭喜恭喜” ,经此密集训练,相信这个可爱的娃娃必能成为超级的“红包摇钱树” 。
In this paper , we first study the growth and regular growth of dirichlet series of finite order by type function in the plane and obtain two necessary and sufficient conditions ; and prove that the growth of random entire functions defined by random dirichlet series of finite order in every horizontal straight line is almost surely equal to the growth of entire functions defined by their corresponding dirichlet series . then we define the hyper - order of dirichlet series of infinite order respectively in the plane or in the right - half plane , study the relations between the hyper - order and regular hyper - order of dirichlet series of infinite order and the cofficients ; obtain the hyper - order of random entire functions defined by random dirichlet series of infinite order in every horizontal straight line is almost surely equal to the hyper - order of entire functions defined by their corresponding dirichlet series 本文首先利用型函数研究了全平面上有限级dirichlet级数的增长性和正规增长性，得到了两个充要条件；证明了有限级随机dirichlet级数的增长性几乎必然与其在每条水平直线上的增长性相同。对于无限级dirichlet级数，分别在右半平面及全平面上定义了其超级的概念，研究了它们的超级和正规超级与其系数间的关系；得到了平面上无限级随机dirichlet级数的超级几乎必然与其在每条水平直线上的超级相同。
