English

Bivariate Chebyshev-I Weighted Orthogonal Polynomials on Simplicial Domains

Classical Analysis and ODEs 2015-10-30 v1

Abstract

We construct a simple closed-form representation of degree-ordered system of bivariate Chebyshev-I orthogonal polynomials Tn,r(u,v,w)\mathscr{T}_{n,r}(u,v,w) on simplicial domains. We show that these polynomials Tn,r(u,v,w),\mathscr{T}_{n,r}(u,v,w), r=0,1,,n;r=0,1,\dots,n; n0n\geq 0 form an orthogonal system with respect to the Chebyshev-I weight function.

Keywords

Cite

@article{arxiv.1507.00147,
  title  = {Bivariate Chebyshev-I Weighted Orthogonal Polynomials on Simplicial Domains},
  author = {Mohammad A. AlQudah},
  journal= {arXiv preprint arXiv:1507.00147},
  year   = {2015}
}
R2 v1 2026-06-22T10:03:36.272Z