On the limit behavior of recurrence coefficients for multiple orthogonal polynomials

JOURNAL OF APPROXIMATION THEORY

卷:139

Article

Aptekarev, AI ; Kalyagin, V ; Lagomasino, GL ; Rocha, IA

关键词: Hermite-Pade orthogonal polynomials;    simultaneous orthogonality;    Nikishin systems;    Angelesco systems;    ratio asymptotic;    recurrence relation;    limit periodic coefficients;   

DOI  :  10.1016/j.jat.2005.09.011

来源: Elsevier

【 摘 要 】

In this paper we investigate general properties of the coefficients in the recurrence relation satisfied by multiple orthogonal polynomials. The results include as particular cases Angelesco and Nikishin systems. (C) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free