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On the Fresnel integrals and the convolution

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  • Adem Kiliçman
  • Brian Fisher

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.

Suggested Citation

  • Adem Kiliçman & Brian Fisher, 2003. "On the Fresnel integrals and the convolution," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:217401
    DOI: 10.1155/S0161171203211522
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