Jacobi-Sobolev-type orthogonal polynomia
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J. ArvesΓΊ; R. Γlvarez-Nodarse; F. MarcellΓ‘n; K. Pan
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Article
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1998
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Elsevier Science
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English
β 975 KB
We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Q~} associated with the inner product /' {p,q) = p(x)q(x)p(x)dx+A,p(l)q(1)+B,p(-1)q(-1)+A2p'(1)q'(1)+B2p'(-l)q'(-l), I where p(x)= (I -x)~(1 + xf is the Jacobi weight function, e, ~> -1, A l, BI, A2, B2/>0 and p, q E P, th