Bivariate orthogonal polynomials on triangular domains

Abedallah Rababah

doi:10.1016/j.matcom.2007.06.006

Bivariate orthogonal polynomials on triangular domains

Abedallah Rababah

Research output: Contribution to journal › Article › peer-review

2 Citations (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 P_{n, 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 language	English
Pages (from-to)	107-111
Number of pages	5
Journal	Mathematics and Computers in Simulation
Volume	78
Issue number	1
DOIs	https://doi.org/10.1016/j.matcom.2007.06.006
Publication status	Published - Jun 2008
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science
Numerical Analysis
Modelling and Simulation
Applied Mathematics

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10.1016/j.matcom.2007.06.006

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title = "Bivariate orthogonal polynomials on triangular domains",

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.",

keywords = "41A10, 41A65, 65D17, 65D18, 68U05, 68U07, Bernstein polynomials, Bivariate orthogonal polynomials, Jacobi polynomials, Triangular domains",

author = "Abedallah Rababah",

year = "2008",

month = jun,

doi = "10.1016/j.matcom.2007.06.006",

language = "English",

volume = "78",

pages = "107--111",

journal = "Mathematics and Computers in Simulation",

issn = "0378-4754",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Bivariate orthogonal polynomials on triangular domains

AU - Rababah, Abedallah

PY - 2008/6

Y1 - 2008/6

N2 - 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.

AB - 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.

KW - 41A10

KW - 41A65

KW - 65D17

KW - 65D18

KW - 68U05

KW - 68U07

KW - Bernstein polynomials

KW - Bivariate orthogonal polynomials

KW - Jacobi polynomials

KW - Triangular domains

UR - https://www.scopus.com/pages/publications/42049114612

UR - https://www.scopus.com/pages/publications/42049114612#tab=citedBy

U2 - 10.1016/j.matcom.2007.06.006

DO - 10.1016/j.matcom.2007.06.006

M3 - Article

AN - SCOPUS:42049114612

SN - 0378-4754

VL - 78

SP - 107

EP - 111

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 1

ER -

Bivariate orthogonal polynomials on triangular domains

Abstract

Keywords

ASJC Scopus subject areas

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