Application of Exponential Kernel to Laplace Transform - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.5, May 2019

Application of Exponential Kernel to Laplace Transform ()

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Download as PDF (Size: 275KB) PP. 1126-1130

DOI: 10.4236/jamp.2019.75075 738 Downloads 2,458 Views Citations

Author(s)

Sami M. AL-Jaber

Affiliation(s)

Department of Physics, An-Najah National University, Nablus, Palestine.

ABSTRACT

In this paper, the exponential decreasing kernel is used in Laplace integral transform to transform a function from a certain domain to another domain. It is shown, in a rigorous way, that the Laplace transform of the delta function is exactly one half rather than one, as it is believed. In addition, when this kernel is used in integral transform of attractive and repulsive Coulomb potential, it yields a finite definite value at the point of singularity.

KEYWORDS

Kernels, Integral Transforms, Laplace Transforms, Singularity

Share and Cite:

AL-Jaber, S. (2019) Application of Exponential Kernel to Laplace Transform. Journal of Applied Mathematics and Physics, 7, 1126-1130. doi: 10.4236/jamp.2019.75075.

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