| 无限级Laplace-Stieltjes变换所表示的整函数的增长性与逼近 |
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| 引用本文： | 徐洪焱,刘三阳. 无限级Laplace-Stieltjes变换所表示的整函数的增长性与逼近[J]. 数学物理学报(A辑), 2020, 0(3): 556-568 |
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| 作者姓名： | 徐洪焱 刘三阳 |
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| 作者单位： | 上饶师范学院数学与计算机学院;西安电子科技大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金(11561033,61877046);江西省自然科学基金(20181BAB201001);江西省教育厅科学技术项目(GJJ180734,GJJ180735)。 |
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| 摘 要： | 通过引入双下q-型的概念,讨论了具有非正规增长的全平面收敛的Laplace-Stieltjes变换的增长性与逼近,得到了Laplace-Stieltjes变换的尾项与双下q-型,An*以及λn的关系定理,推广了罗茜,孔荫莹,Singhal与Srivastava等的结果.
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| 关 键 词： | Laplace-Stieltjes变换 逼近 q-非正规增长 |
The Approximation and Growth of Entire Function Represented by Laplace-Stieltjes Transform with Infinite Order |
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| Xu Hongyan,Liu Sanyang. The Approximation and Growth of Entire Function Represented by Laplace-Stieltjes Transform with Infinite Order[J]. Acta Mathematica Scientia, 2020, 0(3): 556-568 |
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| Authors: | Xu Hongyan Liu Sanyang |
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| Affiliation: | (School of Mathematics and Computer Science,Shangrao Normal University,Jiangxi Shangrao 334001;School of Mathematics and Statistics,Xidian University,Xi'an 710126) |
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| Abstract: | The main purpose of this article is to investigate the growth and approximation of Laplace-Stieltjes transform with irregular growth converges in the whole plane,by introducing the concept of the double lower q-type.We obtain some relation theorems concerning the double lower q-type,the error,An^*andλ_n,which are extension and improvement of the previous theorems given by Luo-Kong,Singhal-Srivastava. |
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| Keywords: | Laplace-Stieltjes transform Approximation Double lower q-type |
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