半平面上慢增长的随机Dirichlet级数  

The random dirichlet series of slow growth in the right half-plane

作　　者：王琼[1] 杨祺[1] 杨锦华[1] 田宏根[1] 

机构地区：[1]新疆师范大学数学科学学院,乌鲁木齐830054

出　　处：《黑龙江大学自然科学学报》2015年第1期32-36,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11461070)

摘　　要：借助一类慢增长函数Λ,在慢增长函数的定义下,给出半平面上慢增长的随机Dirichlet级数的广义级和广义型。结合随机Dirichlet级数和慢增长函数的性质,给出慢增长的随机Dirichlet级数的系数及广义型与最大模、最大项和最大项指标之间的关系。The paper uses a kind of slow growth function A, and introduces generalized order and generalized type of the Dirichlet series with the slow growth in the half-plane. Binding properties of random Dirichlet series and slow growth function, it obtains some relations between the maximum modulus and the maximum term, the index of maximum term and the coefficients, the generalized types defined by the slow growth function.

关 键 词：随机DIRICHLET级数 广义级 广义型 慢增长函数 

分 类 号：O147.52[理学—数学]