Laplace-Stieltjes变换所定义的有限级整函数的增长性  

GROWTH OF AN ENTIRE FUNCTION DEFINED BY LAPLACE-STIELTJES TRANSFORM

作　　者：李云霞[1,2] 邓冠铁[1] 

机构地区：[1]北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,北京100875 [2]楚雄师范学院,云南楚雄675000

出　　处：《北京师范大学学报（自然科学版）》2010年第2期115-118,共4页Journal of Beijing Normal University(Natural Science)

基　　金：教育部博士点基金资助项目(20060027023);云南省应用基础研究基金面上资助项目(2007A229M)

摘　　要：研究了Laplace-Stieltjes变换所定义的有限级整函数的增长性.对于Laplace-Stieltjes变换所定义的整函数的精确级的下型,获得了与精确级的型相类似的结果.在一定的条件下,还获得了这类整函数精确级的型的完全正规增长的充要条件.In this paper,growth of an entire function defined by Laplace-Stieltjes transform is studied.Type and lower type of precise order were defined.On the lower type of precise order,results similar to the type of precise order were obtained.Necessary and sufficient conditions of completely regular growth of such entire function were investigated.

关 键 词：LAPLACE-STIELTJES变换 整函数 精确级 下型 完全正规增长 

分 类 号：O174.55[理学—数学]