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More on a rational second-order difference equation
Journal article   Peer reviewed

More on a rational second-order difference equation

Stevo Stević, Mohammed A. Alghamdi, Abdullah Alotaibi and Naseer Shahzad
Applied mathematics and computation, Vol.236, pp.565-571
01/06/2014
DOI: https://doi.org/10.1016/j.amc.2013.11.080

Abstract

Complex-valued initial conditions Second-order difference equation Solutions with increasing moduli
Here we give natural explanations for some recent relations for the solutions of the following difference equationzn+2=zn+13zn2-2zn+12,n∈N0,and extend them for the case of complex initial values. We also present some other properties related to solutions of the equation, as well as some properties of the solutions of an associate difference equation of first order.

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