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Multiple Orthogonal Polynomials, $D$-orthogonal Polynomials, Production Matrices, and Branched Continued Fractions by Sokal, Alan D. is a scholarly article available to read on EtoBox.

What is Multiple Orthogonal Polynomials, $D$-orthogonal Polynomials, Production Matrices, and Branched Continued Fractions about?

I analyze an unexpected connection between multiple orthogonal polynomials, $d$-orthogonal polynomials, production matrices and branched continued fractions. This work can be viewed as a partial extension of Viennot's combinatorial theory of orthogonal polynomials to the case where the production matrix is lower-Hessenberg but is not necessarily tridiagonal.

Author

Sokal, Alan D.

Published

2022

Language

EN