慢增长的Laplace-Stieltjes变换的逼近  

The Approximation of Laplace-Stieltjes Transforms with Slow Growth

作　　者：徐洪焱 刘三阳 Hong Yan XU;San Yang LIU(School of Mathematics and Statistics, Xidian University, Xi'an 710126, P. R. China)

机构地区：[1]西安电子科技大学数学与统计学院,西安710126

出　　处：《数学学报（中文版）》2019年第3期457-468,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(11561033;61877046);陕西省自然科学基金(2017JM1001);江西省自然科学基金(20181BAB201001);省教育厅科技项目(GJJ170759;GJJ161603;GJJ170788;GJJ151222)

摘　　要：主要研究了全平面内收敛的Laplace-Stieltjes变换所表示的有限对数级整函数的增长性与逼近问题,得到了涉及对数级、对数型、Laplace-Stieltjes变换的系数与误差算子的若干定理,推广了罗茜,孔荫莹,Singhal和Srivastava等人的结果.The main purpose of this paper is to study the growth and approximation on entire functions represented by Laplace-Stieltjes transforms of finite logarithmic order convergent on the whole complex plane, and obtain some results about the logarithmic order,the logarithmic type, the error, and the coefficients of Laplace-Stieltjes transforms which are generalization and improvement of the previous results given by Luo and Kong, Singhal and Srivastava.

关 键 词：对数级 LAPLACE-STIELTJES变换 逼近 误差 

分 类 号：O174.55[理学—数学]