Laplace-Stieltjes变换所确定的解析函数的λ*-对数型

On the λ*-Logarithmic Type of Analytic Functions Represented by Laplace-Stieltjes Transformation

通过引入λ*-对数型的概念,研究了在右半平面收敛的Laplace-Stieltjes变换所确定的非正规对数增长的解析函数的增长性问题,并得到λ*-对数型与最大模、最大项及最大项指标的关系,推广了Dirichlet级数的相关结果.

By using the concept of λ＊-logarithmic type,the analytic function of irregular logarithmic growth which defined by Laplace-Stieltjes transformation converging in right plane is studied.Some relationship on maximum modulus,maximum term,rank of maximum term and the λ＊-logarithmic type are obtained,which extend some results of Dirichlet series.