Year: 2025
Type: preprint
Abstract: We develop a unified construction of matrix-valued orthogonal polynomials associated with discrete weights, yielding bispectral sequences as eigenfunctions of second-order difference operators. This general framework extends the discrete families in the classical Askey scheme to the matrix setting by producing explicit matrix analogues of the Krawtchouk, Hahn, Meixner, and Charlier polynomials. Our results include explicit expressions for the weights, the orthogonal polynomials, and the corresponding difference operators.
Source: arXiv (Cornell University)
Author: Parisi, Ignacio Bono
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G3932424603, G6140428020
OpenAlex ID: W7081569147
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