The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations
We study the singular points of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half plane, by introducing the concept of X-order functions. We also confirm the existence of the finite X-order Borel points of such functions and obtained the extension of th...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/865069 |
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| author | Hong-Yan Xu Zu-Xing Xuan |
| author_facet | Hong-Yan Xu Zu-Xing Xuan |
| author_sort | Hong-Yan Xu |
| collection | DOAJ |
| description | We study the singular points of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half plane, by introducing the concept of X-order functions. We also confirm the existence of the finite X-order Borel points of such functions and obtained the extension of the finite X-order Borel point of two analytic functions defined by two Laplace-Stieltjes transformations convergent on the right half plane. The main results of this paper are improvement of some theorems given by Shang and Gao. |
| format | Article |
| id | doaj-art-767736d5141b47e5861ae02a5fefa851 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-767736d5141b47e5861ae02a5fefa8512025-02-03T01:09:50ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/865069865069The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes TransformationsHong-Yan Xu0Zu-Xing Xuan1Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi 333403, ChinaBeijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, No. 97 Bei Si Huan Dong Road, Chaoyang District, Beijing 100101, ChinaWe study the singular points of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half plane, by introducing the concept of X-order functions. We also confirm the existence of the finite X-order Borel points of such functions and obtained the extension of the finite X-order Borel point of two analytic functions defined by two Laplace-Stieltjes transformations convergent on the right half plane. The main results of this paper are improvement of some theorems given by Shang and Gao.http://dx.doi.org/10.1155/2015/865069 |
| spellingShingle | Hong-Yan Xu Zu-Xing Xuan The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations Journal of Function Spaces |
| title | The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations |
| title_full | The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations |
| title_fullStr | The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations |
| title_full_unstemmed | The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations |
| title_short | The Singular Points of Analytic Functions with Finite X-Order Defined by Laplace-Stieltjes Transformations |
| title_sort | singular points of analytic functions with finite x order defined by laplace stieltjes transformations |
| url | http://dx.doi.org/10.1155/2015/865069 |
| work_keys_str_mv | AT hongyanxu thesingularpointsofanalyticfunctionswithfinitexorderdefinedbylaplacestieltjestransformations AT zuxingxuan thesingularpointsofanalyticfunctionswithfinitexorderdefinedbylaplacestieltjestransformations AT hongyanxu singularpointsofanalyticfunctionswithfinitexorderdefinedbylaplacestieltjestransformations AT zuxingxuan singularpointsofanalyticfunctionswithfinitexorderdefinedbylaplacestieltjestransformations |