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Oscillatory Difference Equations and Moment Problems

Ferreira, J. M. ; Pinelas, Sandra; Ruffin, A.

Advances in Difference Equations , 1 (2014), 110 10.1186/1687-1847-2014-110

In 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 the Wess-Ruffing discretization.