On some properties of q-Hahn multiple orthogonal polynomials |
| |
Authors: | J Arvesú |
| |
Institution: | Department of Mathematics, Universidad Carlos III de Madrid, Avda. de la Universidad, 30, 28911, Leganés, Madrid, Spain |
| |
Abstract: | This 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. |
| |
Keywords: | Multiple orthogonal polynomials Hermite-Padé approximation Difference equations q-polynomials Hahn polynomials |
本文献已被 ScienceDirect 等数据库收录! |
|