Properties of Fourier Cosine and Sine Integrals with the Product of Power and Polynomial Functions

Authors

  • Shiferaw Geremew Kebede Department of Mathematics, Madda Walabu University, Bale Robe, Ethiopia, PO Box: 247

Keywords:

Fourier integrals, Fourier cosine and sine integrals.

Abstract

The time and frequency domains are alternative ways of representing signals. The Fourier transform is the mathematical relationship between these two representations. These transformations are of interest mainly as tools for solving ODEs, PDEs and integral equations, and they often also help in handling and applying special functions. In this article, I have outlined the main features of properties of Fourier cosine and sine Integrals. These properties demand the implementation of representation of a function in integral form, known as Fourier cosine and sine integrals. The purpose of this paper is to provide a brief representation any function in integral form, Fourier cosine and sine transforms, after multiplying the given function by power functions and polynomials and provide the relation between Fourier Cosine integrals and Fourier Sine integrals [9,10].

References

Shiferaw Geremew Kebede, Properties of Fourier cosine and sine transforms, IJSBAR, 35(3) (2017) 184-193

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James S. Walker, University of Wisconsin-Eau clarie

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Historically, how and why was the Laplace Transform invented? Written 18 Oct 2015 From Wikipedia:

The frequency domain Introduction: http://www.netnam.vn/unescocourse/computervision/91.htm.

JPNM Physics Fourier Transform:

http://www.med.harvard.edu/JPNM/physics/didactics/improc/intro/fourier2.html.

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Published

2017-12-02

How to Cite

Kebede, S. G. (2017). Properties of Fourier Cosine and Sine Integrals with the Product of Power and Polynomial Functions. International Journal of Sciences: Basic and Applied Research (IJSBAR), 36(7), 1–17. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/8395

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Articles