On the Fresnel integrals and the convolution

Adem Kiliçman and Brian Fisher

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9

Abstract:

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 x r are evaluated.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:217401

DOI: 10.1155/S0161171203211522

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