Arvesú Carballo, JorgeEsposito, Chiara2010-01-152010-01-152009-10Journal of Difference Equations and Applications, 2010 (In press)1023-6198 (Print)1563-5120 (Online)https://hdl.handle.net/10016/643815 pages, no figures.-- MSC2000 code: 33C45.-- ArXiv pre-print available at: http://arxiv.org/abs/0910.4041Article in pressA 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 [7] is corrected and obtained as a limiting case.application/pdfengMultiple orthogonal polynomialsHermite-Padé approximationDifference equationsClassical orthogonal polynomials of a discrete variableresearch articleMatemáticasopen access