Noncommutative Biorthogonal Polynomials
Quantum Algebra
2011-05-03 v2 Mathematical Physics
math.MP
Rings and Algebras
Abstract
The idea of orthogonal polynomials has been generalized in two ways to achieve new types of polynomials: noncommutative orthogonal polynomials and biorthogonal polynomials. This paper brings these two different generalizations together to present a completely algebraic definition of noncommutative biorthogonal polynomials. It then goes on to obtain recurrence relations for some types of biorthogonal polynomials and concludes with a broad extension of Favard's theorem.
Cite
@article{arxiv.1009.5472,
title = {Noncommutative Biorthogonal Polynomials},
author = {Emily Sergel},
journal= {arXiv preprint arXiv:1009.5472},
year = {2011}
}
Comments
12 pages, 0 figures