陆万春.Laplace-Stieltjes变换所定义的解析函数的精确型[J].数学研究及应用,2015,35(1):97~102
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
投稿时间:2014-02-17  最后修改时间:2014-06-18
DOI:10.3770/j.issn:2095-2651.2015.01.009
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
基金项目:江西省教育厅科技项目(Grant No.GJJ13788).
作者单位
陆万春 萍乡学院数学系, 江西 萍乡 337055 
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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.
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