|Title:||More on a rational second-order difference equation||Journal:||Applied Mathematics and Computation||Volume:||236||First page:||565||Last page:||571||Issue Date:||1-Jun-2014||Rank:||M21||ISSN:||0096-3003||DOI:||10.1016/j.amc.2013.11.080||Abstract:||
Here we give natural explanations for some recent relations for the solutions of the following difference equationzn+2=z n+13zn2-2zn+12nεN0,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.
|Keywords:||Complex-valued initial conditions | Second-order difference equation | Solutions with increasing moduli||Publisher:||Elsevier||Project:||Deanship of Scientific Research (DSR), King Abdulaziz University, Grant No. (22-130/1435 HiCi)|
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