The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation
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 investig...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5809767 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850217123696082944 |
|---|---|
| author | Wen Ju Tang Jian Chen Hong Yan Xu |
| author_facet | Wen Ju Tang Jian Chen Hong Yan Xu |
| author_sort | Wen Ju Tang |
| collection | DOAJ |
| description | 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 λn, which are the extension and improvement of the previous theorems given by Luo and Kong and Singhal and Srivastava. |
| format | Article |
| id | doaj-art-3f757e9734954745970d4e3e01b50a9b |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3f757e9734954745970d4e3e01b50a9b2025-08-20T02:08:08ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/58097675809767The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and ApproximationWen Ju Tang0Jian Chen1Hong Yan Xu2Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi 333403, ChinaXinyu No. 4 Middle School of Jiangxi Province, Xinyu, Jiangxi 338004, ChinaSchool of Mathematics and Computer Science, Shangrao Normal University, Shangrao, Jiangxi 334001, ChinaIn 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 λn, which are the extension and improvement of the previous theorems given by Luo and Kong and Singhal and Srivastava.http://dx.doi.org/10.1155/2020/5809767 |
| spellingShingle | Wen Ju Tang Jian Chen Hong Yan Xu The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation Journal of Function Spaces |
| title | The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation |
| title_full | The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation |
| title_fullStr | The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation |
| title_full_unstemmed | The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation |
| title_short | The Growth of Entire Functions Defined by Laplace–Stieltjes Transforms Related to Proximate Order and Approximation |
| title_sort | growth of entire functions defined by laplace stieltjes transforms related to proximate order and approximation |
| url | http://dx.doi.org/10.1155/2020/5809767 |
| work_keys_str_mv | AT wenjutang thegrowthofentirefunctionsdefinedbylaplacestieltjestransformsrelatedtoproximateorderandapproximation AT jianchen thegrowthofentirefunctionsdefinedbylaplacestieltjestransformsrelatedtoproximateorderandapproximation AT hongyanxu thegrowthofentirefunctionsdefinedbylaplacestieltjestransformsrelatedtoproximateorderandapproximation AT wenjutang growthofentirefunctionsdefinedbylaplacestieltjestransformsrelatedtoproximateorderandapproximation AT jianchen growthofentirefunctionsdefinedbylaplacestieltjestransformsrelatedtoproximateorderandapproximation AT hongyanxu growthofentirefunctionsdefinedbylaplacestieltjestransformsrelatedtoproximateorderandapproximation |