Oscillatory difference equations and moment problemsFerreira, José M. (Avtor) Pinelas, Sandra (Avtor) Ruffing, Andreas (Avtor) difference equationsHermite polynomialspolynomialsdiscretizationIn this paper, we first consider some new oscillatory results with respect to the discrete Hermite polynomials of type I, respectively, type II and the Heim-Lorek polynomials. In the second part, we investigate the oscillatory and boundedness properties of the related orthogonality measures and the functions representing them. The polynomials considered so far in this article are closely related to the concept of theWess-Ruffing discretization.20142017-06-26 11:04:49Znanstveno delo66434sl