全平面上解析的非正规增长的Laplace-Stieltjes变换的λ-型  

On the λ-type of Entire of Irregular Growth Represented By Laplace-Stieltjes Transformation

作　　者：陆万春 王旭焕[2] LU Wan-chun;WANG Xu-huan(College of Engineering and Management, Pingxiang University, Pingxiang 337055, China;Elementary Educational College, Pingxiang University, Pingxiang 337055, China)

机构地区：[1]萍乡学院工程与管理学院,江西萍乡337055 [2]萍乡学院教育科学系,江西萍乡337055

出　　处：《数学的实践与认识》2017年第21期254-259,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11661065);江西省教育厅科技项目(GJJ151267;GJJ151264;GJJ151262;GJJ161253)

摘　　要：通过引入λ-型的概念,研究了在全平面收敛的Laplace-Stieltjes变换所确定的非正规对数增长的整函数的增长性问题,并得到λ-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-type, the entire function of irregular logarithmic growth which defined by Laplace-Stieltjes transformation converging in whole plane is studied. Some relationship on maximum modulus, maximum term, rank of maximum term and the λ-type are obtained, which extend some results of Dirichlet series.

关 键 词：LAPLACE-STIELTJES变换 下型 λ-型 增长性 

分 类 号：O173[理学—数学]