A Gauss quadrature rule for hypersingular integrals

dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorA. Ashour, S.
dc.contributor.authorM. Ahmed, H.
dc.date.accessioned2019-11-06T08:09:10Z
dc.date.available2019-11-06T08:09:10Z
dc.date.issued2007
dc.description.abstractWe 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.sponsorshipELSEVIER SCIENCE INC.en_US
dc.identifier.doihttps://doi.org/10.1016/j.amc.2006.08.075
dc.identifier.otherhttps://doi.org/10.1016/j.amc.2006.08.075
dc.identifier.urihttps://www.sciencedirect.com/science/article/abs/pii/S0096300306011027
dc.language.isoenen_US
dc.publisherELSEVIER SCIENCE INC.en_US
dc.relation.ispartofseriesAPPLIED MATHEMATICS AND COMPUTATION;186, 2, 1671-1682
dc.relation.urihttps://cutt.ly/YeTgG0q
dc.subjectUniversity of Orthogonal Polynomialsen_US
dc.titleA Gauss quadrature rule for hypersingular integralsen_US
dc.typeArticleen_US

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