无穷(R)级整Dirichlet级数的增长性  

Growth of entire Dirichlet series of (R)-order infinite

作　　者：孙华杰[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710072

出　　处：《纺织高校基础科学学报》2007年第4期378-380,共3页Basic Sciences Journal of Textile Universities

摘　　要：利用型函数对无穷(R)级整Dirichlet级数引入更精确的增长指标.研究了此类级数的增长性,且在较弱系数条件下估计了此指标与无穷级整Dirichlet级数的系数及指数之间的关系.A more accurate growth index is introduced to entire Dirichlet series of （R）-order infinite on the basis of type function, the growth of this kind of series is investigated, and the relation between the coefficient and exponent of entire Dirichlet series of （R）-order infinite and the index is estimated under weaker coefficient conditions.

关 键 词：整Dirichlet级数 型函数 增长指标 

分 类 号：O174.51[理学—数学]