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A quadrature rule for finite-part integrals
Authors:D F Paget
Institution:(1) Mathematics Department, University of Tasmania, Hobart, Tasmania, Australia
Abstract:A quadrature rule is described for evaluating finite-part (f.p.) integrals of the form 
$$ = \smallint _0^1 y^{ - af} (y)dy$$
, witha gE 1. The rule is obtained by interpolating tof by a polynomial which coincides withf at the shifted zeros of a Legendre polynomial.
Keywords:
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