Mathematic Attributions of Laplace Transform

Vassilios Saltas, Vassilios Tsiantos and Dimitrios Varveris
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Vassilios Saltas: International Hellenic University, Greece
Vassilios Tsiantos: International Hellenic University, Greece
Dimitrios Varveris: International Hellenic University, Greece

European Journal of Mathematics and Statistics, 2022, vol. 3, issue 6, 8-19

Abstract: The purpose of this work is to define the Laplace transform and the Laplace inverse transformation, to describe their basic properties and to calculate the corresponding transforms of selected functions. To achieve these, the concept of the real function image is first defined, and in particular the conversion of the complex variable function. The examples used are initially pure mathematics, followed by reference to the practical application of these two transformations since they relate to the conversion of a continuous time signal into a complex variable function.

Keywords: Image of function; inverse Laplace transform; Laplace transform (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:3:y:2022:i:6:id:14173

DOI: 10.24018/ejmath.2022.3.6.173

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