Browsing by Author "A. Ashour, S."

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    A Gauss quadrature rule for hypersingular integrals
    (ELSEVIER SCIENCE INC., 2007) A. Ashour, S.; M. Ahmed, H.
    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.