Laplace Transform of Fourier Series Functions of a Period P = 2π

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Shiferaw Geremew Kebede
Shiferaw Geremew Kebede
α Madda Walabu University

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Laplace Transform of Fourier Series Functions of a Period P = 2π

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Abstract

The authors establish a set of presumably new results, Which transform a periodic functions of period p = 2𝝅𝝅 to new functions. So in this paper, the authors tries to evaluate Laplace transform of the discontinuous and periodic function that involves in some applications of non-homogeneous differential equations in Physics, electrical engineering, and other many disciplines. Hence, such type of functions expands to a Fourier series, which represent complicated and discontinuous regarding of simpler continuous and periodic functions of cosines and sines.

References

6 Cites in Article
  1. Gabriel Nagy (2015). Introduction to Ordinary Differential Equations.
  2. Ordinary Differential Equations and Some Applications.
  3. Rudolph Longer (1954). A first Course in Differential equations.
  4. Peter Collins (2006). The Sturm–Liouville Equation.
  5. James Brannan,William Boyce (2010). Unknown Title.
  6. Peter Hart (2015). How the Hough transform was invented [DSP History.

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

Shiferaw Geremew Kebede. 2019. \u201cLaplace Transform of Fourier Series Functions of a Period P = 2π\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F8): .

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Issue Cover
GJSFR Volume 18 Issue F8
Pg. 19- 24
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2010: 44A10
Version of record

v1.2

Issue date

February 6, 2019

Language
en
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The authors establish a set of presumably new results, Which transform a periodic functions of period p = 2𝝅𝝅 to new functions. So in this paper, the authors tries to evaluate Laplace transform of the discontinuous and periodic function that involves in some applications of non-homogeneous differential equations in Physics, electrical engineering, and other many disciplines. Hence, such type of functions expands to a Fourier series, which represent complicated and discontinuous regarding of simpler continuous and periodic functions of cosines and sines.

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Laplace Transform of Fourier Series Functions of a Period P = 2π

Shiferaw Geremew Kebede
Shiferaw Geremew Kebede Madda Walabu University

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