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下侧L-S变换及其迭代象函数的q.s.增长性
引用本文:尤秀英.下侧L-S变换及其迭代象函数的q.s.增长性[J].广东工业大学学报,2002,19(2):87-91.
作者姓名:尤秀英
作者单位:广东工业大学,应用数学系,广东,广州,510643
摘    要:定义了上侧与下侧Laplace-Stielejes变换及对应的指数级数,建立了该变换所定的整函数f1(s),f2(s)(即变换的象函数)及其近代的复合函数f1f2(s)]的下级的理论;通过引入一个紧致拓扑空间,根据随机Dirichlet级数的a.s.性质,建立了整函数f2(s)及f1f2(s)]的q.s.增长性。

关 键 词:下侧Laplace-Stieltjes变换  绝对收敛横坐标  下级  迭代  随机整函数  拟必然
文章编号:1007-7162(2002)02-0087-05
修稿时间:2001年4月17日

The q.s.Growth of Lower Side L-S Transform and Iteration Function by Image of the Transform
YOU Xiu-ying.The q.s.Growth of Lower Side L-S Transform and Iteration Function by Image of the Transform[J].Journal of Guangdong University of Technology,2002,19(2):87-91.
Authors:YOU Xiu-ying
Abstract:The upeen side and lower side Laplace-Stieltjes transform and it's corresponding exponential series are defined.The lower order theory of the in analytic function f 1(s),f 2(s) (image of the transform)defined by the tansform and compound in analytic function f 1 iteration by f 1(s),f 2(s) are established.By defining a closed topological space,and the basis almost-sure qualiy of the random dirichlet series,the quasi-sure growth of in analytic function f 2(s) and f 1 is estabished.
Keywords:lower side Laplace-Sticltjes transtorm  abscissa of absolute converge  lower order  iteration  in random analytic function  quasi-sure
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