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Jacobi-weighted orthogonal polynomials on triangular domains

We construct Jacobi-weighted orthogonal polynomials n,r(α,β,γ)(u,v,w),α,β,γ>−1,α+β+γ=0, on the triangular domain T. We show that these polynomials n,r(α,β,γ)(u,v,w) over the triangular domain T satisfy the following properties: n,r(α,β,γ)(u,v,w)∈ℒn,n≥1, r=0,1,…,n, and n,r(α,β,γ)(u,v,w)⊥ n,s(α,β,...

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Bibliographic Details
Main Authors: A. Rababah, M. Alqudah
Format: Artigo
Language:Inglês
Published: Wiley 2005-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM.2005.205
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