Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582475 | Expositiones Mathematicae | 2010 | 12 Pages |
Abstract
We introduce a q -Dunkl operator T(θ,q)≔Hq+θH−1T(θ,q)≔Hq+θH−1 where Hq is the q -derivative one and we determine all symmetric T(θ,q)T(θ,q)-Appell classical orthogonal q-polynomials. Up to a dilatation, the solution is a q2-analogue of generalized Hermite polynomials orthogonal with respect to the form H(μ,q2)H(μ,q2). Integral representation and discrete measure of H(μ,q2)H(μ,q2) are given for some values of parameters.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Bouanani, L. Khériji, M. Ihsen Tounsi,