Bivariate orthogonal polynomials on triangular domains

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1 Citation (Scopus)

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 Pn, 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.

Original languageEnglish
Pages (from-to)107-111
Number of pages5
JournalMathematics and Computers in Simulation
Volume78
Issue number1
DOIs
Publication statusPublished - Jun 2008
Externally publishedYes

Keywords

  • 41A10
  • 41A65
  • 65D17
  • 65D18
  • 68U05
  • 68U07
  • Bernstein polynomials
  • Bivariate orthogonal polynomials
  • Jacobi polynomials
  • Triangular domains

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

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