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It is shown that the following system of difference equations zₙ₊₁=zₙᵃwₙ₋₁ᵇ, wₙ₊₁=wₙᶜzₙ₋₁ᵈ, n∈ N₀, where a,b,c,d∈ Z , z₋₁, z₀, w₋₁, w₀∈ C , is solvable in closed form.
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Stević et al. (2015) studied this question.
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