The Growth of Entire Functions Defined by Laplace-Stieltjes Transforms Related to Proximate Order and Approximation

被引：0

作者：

Tang, Wen Ju ^{[1
]}

Chen, Jian ^{[2
]}

Xu, Hong Yan ^{[3
]}

机构：

[1] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China

[2] Xinyu 4 Middle Sch Jiangxi Prov, Xinyu 338004, Jiangxi, Peoples R China

[3] Shangrao Normal Univ, Sch Math & Comp Sci, Shangrao 334001, Jiangxi, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

CONVERGENT; ADMM;

D O I：

10.1155/2020/5809767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we discuss the growth of entire functions represented by Laplace-Stieltjes transform converges on the whole complex plane and obtain some equivalence conditions about proximate growth of Laplace-Stieltjes transforms with finite order and infinite order. In addition, we also investigate the approximation of Laplace-Stieltjes transform with the proximate order and obtain some results containing the proximate growth order, the error, An*, and lambda n, which are the extension and improvement of the previous theorems given by Luo and Kong and Singhal and Srivastava.

引用

页数：9

共 25 条

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