有限级广义Laplace-Stieltjes变换  

Growth of Generalized Laplace-Stieltjes Transforms of Finite Order

作　　者：宋文佩 SONG Wenpei(College of Mathematics and Information,Jiangxi Normal University,330022,Nanchang,PRC)

机构地区：[1]江西师范大学数学与信息科学学院,南昌330022

出　　处：《江西科学》2018年第2期232-234,261,共4页Jiangxi Science

摘　　要：主要研究全平面上有限级广义Laplace-Stieltjes变换的增长性。具体来说,首先定义有限级广义Laplace-Stieltjes变换F(s)在圆周|z|=r上的最大模M(r,F)和最大项m(r,F);其次介绍有限级广义Laplace-Stieltjes变换所表示的整函数的最大模,型函数与系数A_n、参数λ_n之间的等价关系。This paper mainly research on the growth of generalized Laplace-Stieltjes transforms of finite order on the whole plane.To be specific,firstly,define maximum modulus M(r,F)and maximum term m(r,F)on the circumference|z|=r;Secondly,introducing the equivalence relation between the maximum modulus and type-function and the coefficient An.

关 键 词：广义Laplace-Stieltjes变换 最大模M(r F) 最大项m(r F) 型函数 增长性 

分 类 号：O174.5[理学—数学]