| 毕家烨,霍颖莹.二重Laplace-Stieltjes变换的增长性*[J].数学年刊A辑,2021,42(4):401~418 |
| 二重Laplace-Stieltjes变换的增长性* |
| On the Growth of the Double Laplace-Stieltjes Transform |
| Received:February 14, 2020 Revised:May 07, 2021 |
| DOI：10.16205/j.cnki.cama.2021.0031 |
| 中文关键词: Laplace-Stieltjes变换, 广义级, 全纯函数 |
| 英文关键词:Laplace-Stieltjes transform, Generalized order, Holomorphic function |
| 基金项目:国家自然科学基金(No.11501127), 广东省自然科学基金(No.2018A030313954)和广东省普通高校重点领域专项(新一代信息技术)(No.2020ZDZX3019) |
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| 中文摘要: |
| 本文引入了一种新的广义级来研究由二重Laplace-Stieltjes变换所定义的全纯函数的增长性, 并建立了一些最大模与最大项之间的有趣的关系,推广了Laplace-Stieltjes变换的某些结果. |
| 英文摘要: |
| This paper introduces a new concept of generalized order to investigate the growth of the holomorphic function defined by the double Laplace-Stieltjes transform, and establishes some attractive relations on the maximum modulus and the maximum term,which generalize some results of Laplace-Stieltjes transform. |
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