Noncommutative biorthogonal polynomials

被引：0
|
作者：
Sergel, Emily [1 ]
机构：
[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
来源：
ADVANCES IN APPLIED MATHEMATICS | 2012年 / 48卷 / 01期
关键词：
Biorthogonal polynomials; Quasideterminants; Recurrence relations; ORTHOGONAL MATRIX POLYNOMIALS;
D O I：
10.1016/j.aam.2011.05.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define and study biorthogonal sequences of polynomials over noncommutative rings, generalizing previous treatments of biorthogonal polynomials over commutative rings and of orthogonal polynomials over noncommutative rings. We extend known recurrence relations for specific cases of biorthogonal polynomials and prove a general version of Favard's theorem. (C) 2011 Elsevier Inc. All rights reserved.
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页码：99 / 105
页数：7
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