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The approximation of Laplace-Stieltjes transforms concerning Sun's type function - MaRDI portal

The approximation of Laplace-Stieltjes transforms concerning Sun's type function (Q2050396)

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scientific article; zbMATH DE number 7388497
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The approximation of Laplace-Stieltjes transforms concerning Sun's type function
scientific article; zbMATH DE number 7388497

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    The approximation of Laplace-Stieltjes transforms concerning Sun's type function (English)
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    31 August 2021
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    Summary: The main aim of this paper is to establish some theorems concerning the error \(E_n(F,\beta)\), the Sun's type function \(U(r)\), and \(M_u(\sigma,F)\) 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.
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    entire functions
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    Laplace-Stieltjes transform
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