Sokal, AD;
(2024)
Multiple orthogonal polynomials,
d-orthogonal polynomials, production matrices, and branched continued fractions.
Transactions of the American Mathematical Society Series B
, 11
(23)
pp. 762-797.
10.1090/btran/133.
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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: | Article |
|---|---|
| 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 |
| DOI: | 10.1090/btran/133 |
| Publisher version: | http://dx.doi.org/10.1090/btran/133 |
| Language: | English |
| Additional information: | © Copyright 2024 by the author under Creative Commons Attribution 3.0 License (CC BY 3.0) |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS 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 |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10194528 |
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