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Matrix-Valued Little q-Jacobi Polynomials

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arxiv 1308.2540 v2 pith:UADYCG5N submitted 2013-08-12 math.CA

Noud Aldenhoven , Erik Koelink , Ana M. de los Ríos This is my paper · ORCID
classification math.CA
keywords matrix-valuedlittlepolynomialsq-jacobioperatorrelationanaloguesdifferential
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Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2x2-matrix-valued little q-Jacobi polynomials explicit expressions for the orthogonality relations, Rodrigues formula, three-term recurrence relation and their relation to matrix-valued q-hypergeometric series and the scalar-valued little q-Jacobi polynomials are presented. The study is based on a matrix-valued q-difference operator, which is a q-analogue of Tirao's matrix-valued hypergeometric differential operator.

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  1. The $q$-extension of iterated integrals and nested sums in quantum field theory

    math-ph 2026-08 conditional novelty 6.0 of 10

    The authors define q-extended versions of the iterated integrals and nested sums used in QFT, deriving closed forms for simple cases and algorithmic recipes for complex ones.

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