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

摘要

Difference calculus compatible with polynomials (i.e., such that the divideddifference operator of first order applied to any polynomial must yield apolynomial of lower degree) can only be made on special lattices well known incontemporary $q-$calculus. Orthogonal polynomials satisfying differencerelations on such lattices are presented. In particular, lattices which aredense on intervals ($|q|=1$) are considered.