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The Approximation of Laplace-Stieltjes Transforms Concerning Sun’s Type Function
Author(s) -
Xia Shen,
Hong Yan Xu
Publication year - 2021
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2021/9970287
Subject(s) - riemann–stieltjes integral , laplace transform , type (biology) , laplace–stieltjes transform , mathematics , function (biology) , green's function for the three variable laplace equation , mathematical analysis , calculus (dental) , inverse laplace transform , geology , integral equation , fourier transform , biology , medicine , paleontology , fourier analysis , dentistry , evolutionary biology , fractional fourier transform
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.

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