The main aim of this paper is to establish some theorems concerning the error , the Sun’s type function , and of entire functions defined by Laplace-Stieltjes transforms with infinite order converge in the whole complex plane. Our results exhibit the growth of Laplace-Stieltjes transforms from the point of view of approximation.

中文翻译：

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Laplace-Stieltjes 变换关于太阳类型函数的近似

本文的主要目的是建立一些关于误差的定理 ,太阳的类型函数,和由 Laplace-Stieltjes 变换定义的整个函数的无限阶数收敛于整个复平面。我们的结果从近似的角度展示了 Laplace-Stieltjes 变换的增长。