infinite order meaning in English
无限阶
Examples
- Infinite order dirichlet series on the right half - plane
两种广义积分和无穷级数收敛比较 - The full circles of quasi - meromorphic mapping of infinite order
无穷级拟亚纯映射的充满圆 - On the distribution of the values of infinite order random dirichlet series on the right half - plane
值双随机狄里克莱级数在收敛平面上的增长性 - The coupled equation method has been improved to calculate this interference by the summation of specific classes of diagrams of perturbation theory to infinite order
我们运用耦合计算方法将这一相互作用的计算达到了微扰论的无穷级近似。 - 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。