A note on a family of two-variable polynomials

AKTAŞ, RABİA; Altin, Abdullah; TAŞDELEN YEŞİLDAL, FATMA

doi:10.1016/j.cam.2010.11.005

A note on a family of two-variable polynomials

AKTAŞ R., Altin A., TAŞDELEN YEŞİLDAL F.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.235, no.16, pp.4825-4833, 2011 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 235 Issue: 16
Publication Date: 2011
Doi Number: 10.1016/j.cam.2010.11.005
Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.4825-4833
Keywords: Jacobi polynomials, Generalized Gegenbauer polynomials, Lagrange polynomials, Recurrence relation, Integral representation, INFORMATION ENTROPIES
Ankara University Affiliated: Yes

Abstract

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. (C) 2010 Elsevier B.V. All rights reserved.