Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636603 | Applied Mathematics and Computation | 2007 | 12 Pages |
Abstract
We construct a set of polynomials Φn(x, t) which are orthogonal with respect to v(x, t) = w(x)/(x â t)p, t â (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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S.A. Ashour, H.M. Ahmed,