Special non uniform lattice ($snul$) orthogonal polynomials on discrete dense sets of points.

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152964Difference calculus compatible with polynomials (i.e., such that the divided difference operator of first order applied to any polynomial must yield a polynomial of lower degree) can only be made on special lattices well known in contemporary $q-$calculus. Orthogonal polynomials satisfying difference relations on such lattices are presented. In particular, lattices which are dense on intervals ($|q|=1$) are considered.Classical Analysis and ODEsSpecial non uniform lattice ($snul$) orthogonal polynomials on discrete dense sets of points.text