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On an equation of linear iteration

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Summary

Given a setD ⊂ (0, ∞), positive numbersa 1, ⋯,a k , and positive integersn 1, ⋯,n k all functionsf: D → D satisfying the iterative equation

$$\sum\limits_{i = 1}^k {a_i f^{n_i } (x) = x} $$

are determined.

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Jarczyk, W. On an equation of linear iteration. Aeq. Math. 51, 303–310 (1996). https://doi.org/10.1007/BF01833285

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