A matrix Rodrigues formula for classical orthogonal polynomials in two variables

JOURNAL OF APPROXIMATION THEORY

卷:157

Article

Alvarez de Morales, Maria¹  Fernandez, Lidia¹  Perez, Teresa E.^1,2  Pinar, Miguel A.^1,2 

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

[2] Univ Granada, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain

关键词: Orthogonal polynomials in two variables;    Classical orthogonal polynomials;    Kronecker power of a matrix;    Rodrigues formula;   

DOI  :  10.1016/j.jat.2008.04.018

来源: Elsevier

【 摘 要 】

Classical orthogonal polynomials in one variable can be characterized as the only orthogonal polynomials satisfying a Rodrigues formula. In this paper, using the second kind Kronecker power of a matrix, a Rodrigues formula is introduced for classical orthogonal polynomials in two variables. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free