Laplace-Stieltjes变换的广义型  

The Generalized Type of Laplace-Stieltjes Transform

作　　者：张少吟 宁菊红[1] 黄文平 ZHANG Shaoyin;NING Juhong;HUANG Wenping(School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China;Basic Department,Army Infantry College,Nanchang Jiangxi 330103,China)

机构地区：[1]江西师范大学数学与统计学院,江西南昌330022 [2]陆军步兵学院基础部,江西南昌330103

出　　处：《江西师范大学学报（自然科学版）》2022年第4期331-334,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11661044)资助项目。

摘　　要：通过引入有限级和无限级的广义型概念,该文讨论了Laplace-Stieltjes变换在全平面上的增长性,得到了由最大模、最大项所表示的广义型和由系数、指数所表示的广义型之间的等价关系,推广了已有的相关结果.In this paper,by introduce the concept of generalized type of finite and infinite order,the growth of Laplace-Stieltjes transform in the whole plane is investigated and the equivalence relation between the generalized type represented by the maximum modulus,maximum term and the generalized type represented by the coefficient,exponent is obtained,which generalize the related result.

关 键 词：LAPLACE-STIELTJES变换 最大模 最大项 有限级 无限级 广义型 

分 类 号：O174.52[理学—数学]