Sokal, Alan D;
(2022)
Multiple orthogonal polynomials, d-orthogonal polynomials, production matrices, and branched continued fractions.
arXiv.org: Ithaca (NY), USA.
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Abstract
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.
| Type: | Working / discussion paper |
|---|---|
| Title: | Multiple orthogonal polynomials, d-orthogonal polynomials, production matrices, and branched continued fractions |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | https://doi.org/10.48550/arXiv.2204.11528 |
| Language: | English |
| Additional information: | © The Author 2022. Original content in this pre-print is licensed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) Licence (https://creativecommons.org/licenses/by/4.0/). |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10158528 |
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