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 coincides with the number of orthogonality conditions that these polynomials satisfy. Some limiting situations when q → 1 are studied. Indeed, the difference equation for Hahn multiple orthogonal polynomials given in Lee [J. Approx. Theory (2007), doi: 10.1016/j.jat.2007.06.002] is obtained as a limiting case.
| Original language | English |
|---|---|
| Journal | Journal of Difference Equations and Applications |
| Volume | 18 |
| Issue number | 5 |
| Pages (from-to) | 833-847 |
| ISSN | 1023-6198 |
| DOIs | |
| Publication status | Published - May 2012 |