On the sine integral and the convolution
type: Item
instance of: scholarly article
title: On the sine integral and the convolution
zbMATH Open document ID: 1004.33001
DOI: 10.1155/S0161171202007834
author: Brian Fisher
author: Fatma S. Al-Sirehy
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/49715
full work available at URL: S0161171202007834.html
review text: Here the sine integral \(Si(\lambda x)\), the cosine integral \(Ci (\lambda x)\) and their associated functions \(Si_+(\lambda x)\), \(Si_-(\lambda x)\), \(Ci_+(\lambda x)\), \(Ci_-(\lambda x)\) are defined as locally summable functions and on the real line. Some convolutions of these functions and \(\sin (\mu x)\), \(\sin_+ (\mu x)\) and \(\sin_- (\mu x)\) are also established.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 33B10
Mathematics Subject Classification ID: 46F10
zbMATH DE Number: 1779121
zbMATH Keywords: sine integral
zbMATH Keywords: convolution
zbMATH Keywords: cosine integral
MaRDI profile type: Publication
OpenAlex ID: W2075158376
description: scientific article; zbMATH DE number 1779121