Xu Hong Yan, Liu San Yan
School of Mathematics and Statistics, Xidian University, Xi'an, Shaanxi 710126 China.
Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi 333403 China.
J Inequal Appl. 2017;2017(1):164. doi: 10.1186/s13660-017-1441-9. Epub 2017 Jul 12.
In this paper, we study the irregular growth of an entire function defined by the Laplace-Stieltjes transform of finite order convergent in the whole complex plane and obtain some results about -lower type. In addition, we also investigate the problem on the error in approximating entire functions defined by the Laplace-Stieltjes transforms. Some results about the irregular growth, the error, and the coefficients of Laplace-Stieltjes transforms are obtained; they are generalization and improvement of the previous conclusions given by Luo and Kong, Singhal and Srivastava.
在本文中，我们研究了由在整个复平面上收敛的有限阶拉普拉斯 - 斯蒂尔杰斯变换所定义的整函数的不规则增长，并得到了一些关于 - 下型的结果。此外，我们还研究了由拉普拉斯 - 斯蒂尔杰斯变换所定义的整函数逼近中的误差问题。得到了一些关于拉普拉斯 - 斯蒂尔杰斯变换的不规则增长、误差和系数的结果；它们是罗和孔、辛哈尔和斯里瓦斯塔瓦之前给出的结论的推广和改进。
