无限级Laplace-Stieltjes变换所表示的整函数的增长性与逼近  

The Approximation and Growth of Entire Function Represented by Laplace-Stieltjes Transform with Infinite Order

作　　者：徐洪焱 刘三阳 Xu Hongyan;Liu Sanyang(School of Mathematics and Computer Science,Shangrao Normal University,Jiangxi Shangrao 334001;School of Mathematics and Statistics,Xidian University,Xi'an 710126)

机构地区：[1]上饶师范学院数学与计算机学院,江西上饶334001 [2]西安电子科技大学数学与统计学院,西安710126

出　　处：《数学物理学报（A辑）》2020年第3期556-568,共13页Acta Mathematica Scientia

基　　金：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)。

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.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.

关 键 词：LAPLACE-STIELTJES变换 逼近 q-非正规增长 

分 类 号：O174[理学—数学]