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The main aim of this paper is to establish some theorems concerning the error  E n F , β , the Sun’s type function  U r , and  M u σ , F 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.

The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function