A Gauss quadrature rule for hypersingular integrals

dc.contributor.author	A. Ashour, S.
dc.contributor.author	M. Ahmed, H.
dc.date.accessioned	2019-11-06T08:09:10Z
dc.date.available	2019-11-06T08:09:10Z
dc.date.issued	2007
dc.identifier.other	https://doi.org/10.1016/j.amc.2006.08.075
dc.identifier.uri	https://www.sciencedirect.com/science/article/abs/pii/S0096300306011027
dc.description.abstract	We construct a set of polynomials phi(n)(x, t) which are orthogonal with respect to v(x, t) = w(x)/(x - t)(P), t is an element of (a, b), where w(x) is a weight function and p is an integer. As an application these polynomials can be used to extract Gaussian quadrature rules for hypersingular integrals. (c) 2006 Elsevier Inc. All rights reserved.	en_US
dc.description.sponsorship	ELSEVIER SCIENCE INC.	en_US
dc.language.iso	en	en_US
dc.publisher	ELSEVIER SCIENCE INC.	en_US
dc.relation.ispartofseries	APPLIED MATHEMATICS AND COMPUTATION;186, 2, 1671-1682
dc.relation.uri	https://cutt.ly/YeTgG0q
dc.subject	University of Orthogonal Polynomials	en_US
dc.title	A Gauss quadrature rule for hypersingular integrals	en_US
dc.type	Article	en_US
dc.identifier.doi	https://doi.org/10.1016/j.amc.2006.08.075
dc.Affiliation	October University for modern sciences and Arts (MSA)