International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 6, Pages 365-375
doi:10.1155/S0161171202007834
On the sine integral and the convolution
Brian Fisher1
and Fatma Al-Sirehy2
1Department of Mathematics and Computer Sciences, Leicester University, Leicester LE1 7RH, UK
2King Abdulaziz University, P.O. Box 32477, Jeddah, Saudi Arabia
Abstract
The sine integral Si(λx) and the cosine integral Ci(λx) and their associated functions Si+(λx), Si−(λx), Ci+(λx), Ci−(λx) are defined as locally summable functions on the real line. Some convolutions of these functions and sin(μx), sin+(μx), and sin−(μx) are found.