2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115590The spaces of invariants and the zonal spherical functions associated with quantum super 2-shpheres defined by $\Bbb{C}_{q}(osp(1,2))$ are discussed. Connection between the zonal spherical functions and orthogonal $q$-polynomials from the Askey-Wilson scheme is investigated.AMS-Tex, preprint 18 pagesQuantum AlgebraRepresentation Theory17B35; 17B60; 22E70Invariants and orthogonal $q$-polynomials associated with $\Bbb{C}_{q}(osp(1,2))$text