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

Umana Itaketo

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

Umana Itaketo * §

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University of Uyo, Uyo

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

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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.

References

7 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Umana Itaketo. 2013. "The Development of Discrete Version of Laplace Transformation (Sigma (If) Transformation) Obtained from the Relationship Between Laplace and Fourier Transformations". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F3).

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GJSFR Volume 13 Issue F3

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

analysis discrete fourier transformation laplace transformation relationships sigma (σ) transformation

Classification

GJSFR-F Classification MSC 2010: 44A10

Submission ReceivedMarch 11, 2013
Peer Review Double Blind
Handling Editor
Accepted April 1, 2013
Published April 14, 2013

Version of record

v1.2

Issue date

May 6, 2013

Language

English

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Article Matrices

Total Score: 150

Country: Nigeria

Subject: Global Journal of Science Frontier Research

Authors: Dr. Umana Thompson Itaketo (PhD/Dr. count: 1)

View Count (all-time): 265

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Total Downloads (simulated): 66

Publish Date: 2013 04, Sun

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Total Views: 1.6K

Total Downloads: 66

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