Abstract
In the present work, we deal with a monic orthogonal polynomial sequence (MOPS) inferred by its cubic decomposition . Our aim is to describe all -semiclassical q-polynomials of class one of these sequences. From the cubic decomposition structure and via the study of the q-difference equation satisfied by its corresponding regular form w where is the Hahn’s operator, only three MOPSs appear and their recurrence coefficients are explicitly given. A discrete measure representation of each corresponding linear functional is also established.
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