International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 41, Pages 2635-2643
doi:10.1155/S0161171203211522
On the Fresnel integrals and the convolution
Adem Kiliçman1
and Brian Fisher2
1Department of Mathematics, University of Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
2Department of Mathematics, University of Leicester, Leicester LE1 7RH, UK
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 xr are evaluated.