A high order q-difference equation for q-Hahn multiple orthogonal polynomials
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 q1 are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in Lee is corrected and obtained as a limiting case.
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