Bivariate orthogonal polynomials on triangular domains

Abedallah Rababah

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 78, issue 1, 107-111

Abstract: In the paper [A. Rababah, M. Alqudah, Jacobi-weighted orthogonal polynomials on triangular domains, J. Appl. Math. 3 (2005) 205–217.], Jacobi-weighted orthogonal polynomials Pn,r(α,β,γ)(u,v,w),α,β,γ>−1 on the triangular domain T for values of α,β,γ>−1 in the plane α+β+γ=0 are constructed. In this paper, the results are generalized to every point in the space ∀α,β,γ>−1.

Keywords: Bivariate orthogonal polynomials; Bernstein polynomials; Jacobi polynomials; Triangular domains (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:78:y:2008:i:1:p:107-111

DOI: 10.1016/j.matcom.2007.06.006

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