On some properties of q-Hahn multiple orthogonal polynomials

8 pages, no figures.-- MSC2000 code: *33-99.-- Issue title: "Special Functions, Information Theory, and Mathematical Physics" (dedicated to Professor Jesus Sánchez Dehesa on the occasion of his 60th birthday).Zbl#: Zbl pre05650063This contribution deals with multiple orthogonal polynomials of type II with respect to q-discrete measures (q-Hahn measures). In addition, we show that this family of multiple orthogonal polynomials has a lowering operator, and raising operators, as well as a Rodrigues type formula. The combination of lowering and raising operators leads to a third order q-difference equation when two orthogonality conditions are considered. An explicit expression of this q-difference equation will be given. Indeed, this q-difference equation relates polynomials with a given degree evaluated at four consecutive non-uniformed distributed points, which makes these polynomials interesting from the point of view of bispectral problems.The author was supported by 'Ramón y Cajal' research program of Spain, the research project MTM2006-13000-C03-02 of the Ministerio de Educación y Ciencia of Spain, and Projects CCG06-UC3M/EST-0690 and CCG07-UC3M/ESP-3339 from Comunidad de Madrid-Universidad Carlos III de Madrid.Publicad