On the Fresnel integrals and the convolution

The Fresnel cosine integral C (x), the Fresnel sine integral S (x), and the associated functions C+ (x), C- (x), S+ (x), and S- (x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with...

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Main Authors: Kiliçman, Adem, Fisher, Brian
Format: Article
Language:English
Published: Hindawi Publishing 2003
Online Access:http://psasir.upm.edu.my/id/eprint/114023/
http://psasir.upm.edu.my/id/eprint/114023/1/114023.pdf
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author Kiliçman, Adem
Fisher, Brian
author_facet Kiliçman, Adem
Fisher, Brian
author_sort Kiliçman, Adem
building UPM Institutional Repository
collection Online Access
description The Fresnel cosine integral C (x), the Fresnel sine integral S (x), and the associated functions C+ (x), C- (x), S+ (x), and S- (x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r and xr are evaluated.
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institution Universiti Putra Malaysia
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publishDate 2003
publisher Hindawi Publishing
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spelling upm-1140232024-12-08T07:50:09Z http://psasir.upm.edu.my/id/eprint/114023/ On the Fresnel integrals and the convolution Kiliçman, Adem Fisher, Brian The Fresnel cosine integral C (x), the Fresnel sine integral S (x), and the associated functions C+ (x), C- (x), S+ (x), and S- (x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r and xr are evaluated. Hindawi Publishing 2003 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/114023/1/114023.pdf Kiliçman, Adem and Fisher, Brian (2003) On the Fresnel integrals and the convolution. International Journal of Mathematics and Mathematical Sciences, 2003 (41). pp. 2635-2643. ISSN 0161-1712 https://onlinelibrary.wiley.com/doi/10.1155/S0161171203211522 10.1155/s0161171203211522
spellingShingle Kiliçman, Adem
Fisher, Brian
On the Fresnel integrals and the convolution
title On the Fresnel integrals and the convolution
title_full On the Fresnel integrals and the convolution
title_fullStr On the Fresnel integrals and the convolution
title_full_unstemmed On the Fresnel integrals and the convolution
title_short On the Fresnel integrals and the convolution
title_sort on the fresnel integrals and the convolution
url http://psasir.upm.edu.my/id/eprint/114023/
http://psasir.upm.edu.my/id/eprint/114023/
http://psasir.upm.edu.my/id/eprint/114023/
http://psasir.upm.edu.my/id/eprint/114023/1/114023.pdf