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MR1884593 (2003e:39032) 39A20 (39A11) Gibbons, C. H.; Kulenović, M. R. S.; Ladas, G.; Voulov, H. D. On the trichotomy character of $x\sb {n+1}=(\alpha+\beta x\sb n+\gamma x\sb {n-1})/(A+x\sb n)$$x\sb {n+1}=(\alpha+\beta x\sb n+\gamma x\sb {n-1})/(A+x\sb n)$. J. Difference Equ. Appl. 8 (2002), no. 1, 75–92.

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