Bivariate orthogonal polynomials on triangular domains

Authors:
Abedallah Rababah
Affiliations:
Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
Venue:
Mathematics and Computers in Simulation
Year:
2008

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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^(^@a^,^@b^,^@c^)(u,v,w),@a,@b,@c-1 on the triangular domain T for values of @a,@b,@c-1 in the plane @a+@b+@c=0 are constructed. In this paper, the results are generalized to every point in the space @?@a,@b,@c-1.