Abstract
We obtain in this paper the solutions of the difference equations $$ x_{n+1}=\dfrac{ax_{n}x_{n-2}}{x_{n-1}(-b+cx_{n}x_{n-2})},\qquad n=0,1,..., $$ where $a$, $b$, $c$ are positive real numbers and the initial conditions are arbitrary positive real numbers.
Citation
E.M. Elsayed. "Solution of a rational recursive sequences of order three." Funct. Approx. Comment. Math. 48 (1) 7 - 17, March 2013. https://doi.org/10.7169/facm/2013.48.1.1
Information