Bivariate Chebyshev-I Weighted Orthogonal Polynomials on Simplicial Domains

zbMATH Open1362.42055arXiv1507.00147MaRDI QIDQ5738004

Mohammad A. AlQudah

Publication date: 31 May 2017

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 $mathscr{T}_{n,r}(u,v,w),$ $r=0,1,dots,n;$ $ngeq0$ form an orthogonal system with respect to the Chebyshev-I weight function.

Full work available at URL: https://arxiv.org/abs/1507.00147

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

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