On the Fresnel integrals and the convolution
type: Item
instance of: scholarly article
title: On the Fresnel integrals and the convolution
zbMATH Open document ID: 1043.33001
DOI: 10.1155/S0161171203211522
author: Brian Fisher
author: Adem Kilicman
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-12-03T00:00:00Z
full work available at URL: https://eudml.org/doc/50875
review text: Summary: 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.
Mathematics Subject Classification ID: 33B10
Mathematics Subject Classification ID: 46F10
zbMATH DE Number: 2012565
zbMATH Keywords: Fresnel cosine integral
zbMATH Keywords: Fresnel sine integral
MaRDI profile type: Publication
OpenAlex ID: W2057266961
description: scientific article; zbMATH DE number 2012565