| ENTIRE FUNCTIONS REPRESENTED BY LAPLACE-STIELTJES TRANSFORMS CONCERNING THE APPROXIMATION AND GENERALIZED ORDER |
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| 作者姓名： | 徐洪焱 孔荫莹 |
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| 作者单位： | School of Mathematics and Computer Science;Research Institute of Innovation Competitiveness of Guangdong |
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| 基金项目： | supported by the National Natural Science Foundation of China (11561033);the Natural Science Foundation of Jiangxi Province in China (20181BAB201001);the Foundation of Education Department of Jiangxi (GJJ190876, GJJ190895,GJJ202303) of China;supported by Guangdong Natural Science Foundation(2018A030313954);Guangdong University (New Generation Information Technology) Key Field Project(2020ZDZX3019);Project of Guangdong Province Innovative Team (2020WCXTD011);Guangdong Provincial Government’s project “Promoting the construction of the Guangdong-Hong Kong-Macao Greater Bay Area and building a new open economic system”. |
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| 摘 要： | The first aim of this paper is to investigate the growth of the entire function defined by the Laplace-Stieltjes transform converges on the whole complex plane.By introducing the concept of generalized order,we obtain two equivalence theorems of Laplace-Stiettjes transforms related to the generalized order,An*andλn.The second purpose of this paper is to study the problem on the approximation of this Laplace-Stieltjes transform.We also obtain some theorems about the generalized order,the error,and the coefficients of Laplace-Stieltjes transforms,which are generalization and improvement of the previous results.
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| 关 键 词： | Laplace-Stieltjes transform order ERROR GROWTH |
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