On the rational recursive sequence $ \ x_{n+1}=\Big ( A+\sum _{i=0}^k\alpha _ix_{n-i}\Big ) \Big / \sum _{i=0}^k\beta _ix_{n-i} $
Mathematica Bohemica, Tome 133 (2008) no. 3, pp. 225-239.

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The main objective of this paper is to study the boundedness character, the periodic character, the convergence and the global stability of positive solutions of the difference equation \[ x_{n+1}=\bigg ( A+\sum _{i=0}^k\alpha _ix_{n-i}\bigg ) \Big / \sum _{i=0}^k\beta _ix_{n-i},\ \ n=0,1,2,\dots \] where the coefficients $A$, $\alpha _i$, $\beta _i$ and the initial conditions $x_{-k},x_{-k+1},\dots ,x_{-1},x_0$ are positive real numbers, while $k$ is a positive integer number.
DOI : 10.21136/MB.2008.140612
Classification : 34C99, 39A10, 39A11, 39A20, 39A22, 39A23, 39A30, 39A99
Mots-clés : difference equations; boundedness character; period two solution; convergence; global stability 
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Zayed, E. M. E.; El-Moneam, M. A. On the rational recursive sequence $ \ x_{n+1}=\Big ( A+\sum _{i=0}^k\alpha _ix_{n-i}\Big ) \Big / \sum _{i=0}^k\beta _ix_{n-i} $. Mathematica Bohemica, Tome 133 (2008) no. 3, pp. 225-239. doi : 10.21136/MB.2008.140612. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.140612/

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