A note on a family of two-variable polynomials
✍ Scribed by Rabia Aktaş; Abdullah Altın; Fatma Taşdelen
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 527 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
In this paper we obtain a new formula for hypergeometric series of two variables. The result is general in character and includes aa particular cases results given earlier by KARLSSON [S] and MINTON [7].
Polynomial interpolation of two variables based on points that are located on multiple circles is studied. First, the poisedness of a Birkhoff interpolation on points that are located on several concentric circles is established. Second, using a factorization method, the poisedness of a Hermite inte