|
|||||
|
|
| 二重双随机Dirichlet级数的收敛性和增长性 | |
| 引用本文： | 乔乐.二重双随机Dirichlet级数的收敛性和增长性[J].纺织高校基础科学学报,2013(1):26-31. |
| 作者姓名： | 乔乐 |
| 作者单位： | 西北工业大学理学院 |
| 摘 要： | 研究二重双随机Dirichlet级数F（s，t，ω）=∑m=1^∞∑n=1^∞amnXmn（ω）exp（-λm（ω）s-μn（ω）t）在{Xmn}独立且某阶矩一致有界等条件下的收敛性和增长性，得出二重双随机Diriehlet级数F（s，t，ω）=∑m=1^∞∑n=1^∞amnXmn（ω）exp（-λm（ω）s-μn（ω）t）与二重Dirichlet级数F（s，t）=∑m=1^∞∑n=1^∞amnexp（-sEλm-tEμn）a.s.有相同的收敛横坐标和增长级． |
| 关 键 词： | 二重双随机Dirichlet级数 收敛横坐标 增长级 |
The convergence and the growth of double bi-random Dirichlet series |
|
| QIAO Le.The convergence and the growth of double bi-random Dirichlet series[J].Basic Sciences Journal of Textile Universities,2013(1):26-31. | |
| Authors: | QIAO Le |
| Affiliation: | QIAO Le(School of Science,Northwestern Polytechnical University,Xi′an 710129,China) |
| Abstract: | In this paper,the convergence and the growth of double bi-random Dirichlet series F（s,t,ω）=∑m=1^∞∑n=1^∞amnXmn（ω）exp（-λm（ω）s-μn（ω）t） under independent and some uniform boundary moment random variable {Xm} satisfying other condi- tions are studied. The result that double bi-random Diriehlet series F（s,t,ω）=∑m=1^∞∑n=1^∞amnXmn（ω）exp（-λm（ω）s-μn（ω）t） and Dirichlet series F（s,t）=∑m=1^∞∑n=1^∞amnexp（-sEλm-tEμn）a.s. have the same abscissa of convergence and the order of growth is given. |
| Keywords: | double bi-random Diriehlet series the abscissa of convergence the order of growth |
| 本文献已被 CNKI 维普 等数据库收录！ | |