Application of different methods for solving linear difference equations with variable coefficients


Mehmed Nurkanović, Mirsad Trumić




Several methods for solving linear difference equations are considered: the operator method, the method of invariants, the method of generating functions, the $Z$-transform method, and the factorial series method. The application of these methods is demonstrated by solving higher-order linear difference equations with variable coefficients, in particular to solving an interesting problem from the Putnam student competition in 1990.