Bivariate orthogonal polynomials on triangular domains

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 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 ∀ α , β , γ > − 1 .