摘要
若广义Dirichlet级数的系数满足分离性条件和上密度条件,定义由此广义Dirichlet级数所表示的整函数在水平带形中的级ρB和型τB,讨论此整函在全面平面上的级ρ,ρR,型τ,τR与ρB,τB之间的关系,得到ρR≤ρB≤ρ,τR≤τB≤τ,推广了实指数Dirichlet级数的相关结果.
If coefficients of generalized Dirichlet series satisfy sepreration and upper densty conditions, we difine the order ρH and type τB of the entire functions represented by the generalized Dirichlet series, then study the relation between the order to, ρ,ρR and type τ, τR of entrie functions in the whole plan and ρB, τB , obtain ρB〈 τB,〈 to, ρR ≤ ρ, τR≤ τB≤ τ, which generalize results of Dirichlet series with real exponents.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2008年第6期682-684,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
江西省自然科学基金(2007GZS0177,2007Gaso159)
江西省教育厅社会科技计划(GJJ08161)资助项目
