A note on a family of two-variable polynomials

作者：Aktas Rabia^*; Altin Abdullah; Tasdelen Fatma

来源：Journal of Computational and Applied Mathematics, 2011, 235(16): 4825-4833.

DOI：10.1016/j.cam.2010.11.005

• Jacobi polynomials
• Generalized Gegenbauer polynomials
• Lagrange polynomials
• Recurrence relation
• Integral representation

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.

• 出版日期2011-6-15