Article ID Journal Published Year Pages File Type
4636603 Applied Mathematics and Computation 2007 12 Pages PDF
Abstract
We construct a set of polynomials Φn(x, t) which are orthogonal with respect to v(x, t) = w(x)/(x − t)p, t ∈ (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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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