Dynamic economic models are a useful tool to study economic dynamics and get a better understanding of relevant phenomena such as growth and business cycle. Equilibrium conditions are normally identified by a system of difference equations and a set of boundary conditions (describing limit values of some variables). Thus, studying equilibrium properties requires studying the properties of a sys...

After H\"older proved his classical theorem about the Gamma function, there has been a whole bunch of results showing that solutions to linear difference equations tend be hypertranscendental i.e. they cannot solution an algebraic differential equation). In this paper, we obtain first complete for general associated with shift operator $x\mapsto x+h$ ($h\in\mathbb{C}^*$), $q$-difference qx$ ($q...