Laplace-Stieltjes变换所定义的解析函数的精确型

On the Proximate Type of Analytic Function Represented by Laplace-Stieltjes Transformation

中文关键词:  Laplace-Stieltjes变换  零级  对数$p$-型  下对数$p$-型

英文关键词:Laplace-Stieltjes transform  zero order  logarithmic $p$-type  lower logarithmic $p$-type

中文摘要:

      本文研究了在右半平面上收敛的零级Laplace-Stieltjes变换的增长性,得到这种变换一般对数$p$-型和下对数$p$-型的系数特征,推广了对数型和下对数型的相关结果.

英文摘要:

      In present paper, we study precisely the growth of analytic functions defined by zero order Laplace-Stieltjes transformation converging in right plane. The coefficient characterizations of generalized logarithmic $p$-type and generalized lower logarithmic $p$-type are obtained, which improve the results of logarithmic type and lower logarithmic type.