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The combinatorics of q-Charlier polynomials

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arxiv math/9307208 v1 pith:L3R7BRAE submitted 1993-07-09 math.CA math.CO

Anne de Médicis , Dennis W. Stanton , Dennis E. White This is my paper · ORCID
classification math.CAmath.CO
keywords polynomialsal-salam-carlitzaspectscharliercoefficientscombinatorialcombinatoricsdescribe
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abstract

We describe various aspects of the Al-Salam-Carlitz $q$-Charlier polynomials. These include combinatorial descriptions of the moments, the orthogonality relation, and the linearization coefficients.

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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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