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arXiv · 1507.00147

Bivariate Chebyshev-I Weighted Orthogonal Polynomials on Simplicial Domains

Mohammad A. AlQudah
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Abstract

We construct a simple closed-form representation of degree-ordered system of bivariate Chebyshev-I orthogonal polynomials $\mathscr{T}_{n,r}(u,v,w)$ on simplicial domains. We show that these polynomials $\mathscr{T}_{n,r}(u,v,w),$ $r=0,1,\dots,n;$ $n\geq 0$ form an orthogonal system with respect to the Chebyshev-I weight function.

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Mohammad A. AlQudah. 2015-07-01. Bivariate Chebyshev-I Weighted Orthogonal Polynomials on Simplicial Domains. https://arxiv.org/abs/1507.00147

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