Application of different methods for solving linear difference equations with variable coefficients
The Teaching of Mathematics, XXVIII (2025) no. 1, p. 30

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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.
DOI : 10.57016/TM-UURP1450
Classification : 97I30, I35, I75
Keywords: Linear difference equation, operator method, invariant method, method of generating functions, $Z$-transform method, method of factorial series.
Mehmed Nurkanović; Mirsad Trumić. Application of different methods for solving linear difference equations with variable coefficients. The Teaching of Mathematics, XXVIII (2025) no. 1, p. 30 . doi: 10.57016/TM-UURP1450
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