$napis="Abstract"; include "zacatek.inc"; ?> Preprint MA 69/2011
We characterize the generalized Dhombres functional equations f (z f (z)) = φ (f (z)) which have a non-constant rational solution f0, holomorphic at 0, with f0(0) = w0, under the assumption that φ is a non-constant meromorphic function, holomorphic at w0. All rational solutions of such an equation which are holomorphic at 0 and all formal solutions are determined.
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