Bivariate orthogonal polynomials on triangular domains

摘要

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 P_(n,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 comyα ,β, γ >- 1.