Abstract
For every \({\alpha\in\mathbb R}\) we determine all increasing bijections f : (0, + ∞)→ (0, + ∞) such that \({f(1)\neq1}\) and f(x)f −1(x) = x α for every \({x\in (0,+\infty)}\).
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Boros Z.: Talk given during the fiftieth international symposium on functional equations. Aequat. Math. 86, 293 (2013)
Brillouët-Belluot N.: Problem posed during The forty-ninth international symposium on functional equations. Aequat. Math. 84, 312 (2012)
Morawiec J.: On a problem of Nicole Brillouët-Belluot. Aequat. Math. 84, 219–225 (2012)
Morawiec, J.: Around a problem of Nicole Brillouët-Belluot. Aequat. Math. doi:10.1007/s00010-013-0216-8
Nabeya S.: On the functional equation f(p + qx + rf(x)) = a + bx + cf(x). Aequat. Math. 11, 199–211 (1974)
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Morawiec, J. Around a problem of Nicole Brillouët-Belluot, II. Aequat. Math. 89, 625–627 (2015). https://doi.org/10.1007/s00010-013-0249-z
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DOI: https://doi.org/10.1007/s00010-013-0249-z