| 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 修订日期：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). |
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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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