A note on a family of two-variable polynomials

A note on a family of two-variable polynomials

The main object of this paper is to construct a two-variable analogue of Jacobi polynomials and to give some properties of these polynomials. We show that these polynomials are orthogonal, then we obtain various recurrence formulas for them. Furthermore, we give some integral representations for the...

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Veröffentlicht in:Journal of computational and applied mathematics 2011-06, Vol.235 (16), p.4825-4833
Hauptverfasser: AKTAS, Rabia, ALTIN, Abdullah, TASDELEN, Fatma
Format: Artikel
Sprache:eng
Schlagworte:
Analogue
Computation
Construction
Difference and functional equations, recurrence relations
Exact sciences and technology
Fourier analysis
Generalized Gegenbauer polynomials
Integral representation
Integrals
Jacobi polynomials
Lagrange polynomials
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Recurrence relation
Representations
Sciences and techniques of general use
Special functions
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Beschreibung
Zusammenfassung:The main object of this paper is to construct a two-variable analogue of Jacobi polynomials and to give some properties of these polynomials. We show that these polynomials are orthogonal, then we obtain various recurrence formulas for them. Furthermore, we give some integral representations for these polynomials.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2010.11.005