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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Bibliographic Details
Main Authors: Kiliçman, Adem, Fisher, Brian
Format: Article
Language:English
Published: Hindawi Publishing 2003
Online Access:http://psasir.upm.edu.my/id/eprint/114023/1/114023.pdf
http://psasir.upm.edu.my/id/eprint/114023/
https://onlinelibrary.wiley.com/doi/10.1155/S0161171203211522
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Summary: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.