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Noncommutative Biorthogonal Polynomials by Sergel, Emily is a scholarly article available to read on EtoBox.

What is Noncommutative Biorthogonal Polynomials about?

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.

Author

Sergel, Emily

Published

2010

Language

EN