  In this article, we use the generating functions of the Humbert polynomials
to define two types of Humbert generalized fractional differenced ARMA
processes. We present stationarity and invertibility conditions for the
introduced models. The singularities for the spectral densities of the
introduced models are obtained. In particular, Pincherle ARMA, Horadam ARMA and
Horadam-Pethe ARMA processes are studied.
