On the Fresnel sine integral and the convolution

Adem Kılıçman

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-7

Abstract:

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

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:109853

DOI: 10.1155/S0161171203211510

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