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arXiv · 0910.4041

A high order $q$-difference equation for $q$-Hahn multiple orthogonal polynomials

Jorge Arvesú Carballo·Chiara Esposito
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Abstract

A high order linear $q$-difference equation with polynomial coefficients having $q$-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation is related to the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when $q\to1$ are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in \cite{Lee} is corrected and obtained as a limiting case.

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Jorge Arvesú Carballo, Chiara Esposito. 2009-10-21. A high order $q$-difference equation for $q$-Hahn multiple orthogonal polynomials. https://doi.org/10.1080/10236198.2010.524211

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