文献类型：期刊文献

英文题名：The growth and value distribution of Laplace-Stieltjes transformations with infinite order in the right half-plane

作者：Xu, Hong-Yan[1];Xuan, Zu-Xing[2]

第一作者：Xu, Hong-Yan

通讯作者：Xuan, ZX[1]

机构：[1]Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China;[2]Beijing Union Univ, Dept Gen Educ, Beijing Key Lab Informat Serv Engn, Beijing 100101, Peoples R China

第一机构：Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China

通讯机构：[1]corresponding author), Beijing Union Univ, Dept Gen Educ, Beijing Key Lab Informat Serv Engn, 97 Bei Si Huan Dong Rd, Beijing 100101, Peoples R China.|[11417103]北京联合大学北京市信息服务工程重点实验室;[11417]北京联合大学;

年份：2013

卷号：2013

起止页码：1-15

外文期刊名：JOURNAL OF INEQUALITIES AND APPLICATIONS

收录：;Scopus(收录号：2-s2.0-84894445179);WOS:【SCI-EXPANDED(收录号:WOS:000322012200001)】；

基金：This project is supported by the NSFC (No. 61202313, 11201395) and the Natural Science foundation of Jiangxi Province in China (No. 2010GQS0119, No. 20122BAB201016 and No. 20132BAB211001). The second author is supported in part by NNSFC (Nos. 11226089, 61271370), Beijing Natural Science Foundation (No. 1132013) and The Project of Construction of Innovative Teams and Teacher Career Development for Universities and Colleges Under Beijing Municipality (CIT&TCD20130513).

语种：英文

外文关键词：X-order; X-U-order; Laplace-Stieltjes transform

摘要：By introducing the concept of -order functions, we study the growth of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half-plane. Some necessary and sufficient conditions on finite -order of these functions have been obtained. We also investigate the value distribution of Laplace-Stieltjes transformations with finite -order and obtain the existence of -points and -points dealing with multiple values of two Laplace-Stieltjes transformations which converge on the right half-plane. The main results of this paper are improvement and extension of some theorems given by Shang and Gao.