The Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations

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K9ZC9

The Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations

Dr. Umana Thompson Itaketo
Dr. Umana Thompson Itaketo
DOI

Abstract

The relationships between Laplace and Fourier transformations are studied very closely. It is observed that Fourier transformation can be obtained from Laplace transformation but the reverse is not true. Based on this, a generic mathematical analysis leads to an expression relating Laplace transformation to Fourier transformation. Further mathematical analysis from that expression leads to something quite new: The Discrete Version of Laplace transformation, which the author calls sigma (σ) transformation.

The Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations

The relationships between Laplace and Fourier transformations are studied very closely. It is observed that Fourier transformation can be obtained from Laplace transformation but the reverse is not true. Based on this, a generic mathematical analysis leads to an expression relating Laplace transformation to Fourier transformation. Further mathematical analysis from that expression leads to something quite new: The Discrete Version of Laplace transformation, which the author calls sigma (σ) transformation.

Dr. Umana Thompson Itaketo
Dr. Umana Thompson Itaketo

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Umana Itaketo. 2013. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F3): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 13 Issue F3
Pg. 47- 55
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The Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations

Dr. Umana Thompson Itaketo
Dr. Umana Thompson Itaketo

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