dd-orthogonality of Little qq-Laguerre type polynomials

In this paper, we solve a characterization problem in the context of the dd-orthogonality. That allows us, on one hand, to provide a qq-analog for the dd-orthogonal polynomials of Laguerre type introduced by the first author and Douak, and on the other hand, to derive new LqLq-classical dd-orthogonal polynomials generalizing the Little qq-Laguerre polynomials. Various properties of the resulting basic hypergeometric polynomials are singled out. For d=1d=1, we obtain a characterization theorem involving, as far as we know, new LqLq-classical orthogonal polynomials, for which we give the recurrence relation and the difference equation.