Kislisçman, Adem On the Fresnel sine integral and the convolution. (English) Zbl 1026.33002 Int. J. Math. Math. Sci. 2003, No. 37, 2327-2333 (2003). Summary: 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. Cited in 3 Documents MSC: 33B10 Exponential and trigonometric functions 46F10 Operations with distributions and generalized functions PDF BibTeX XML Cite \textit{A. K{i}sl{i}sçman}, Int. J. Math. Math. Sci. 2003, No. 37, 2327--2333 (2003; Zbl 1026.33002) Full Text: DOI EuDML