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A solution of the following difference equation is investigated:xn+1=xn−k+11+xnxn−1…xn−k,n=0,1,2,…$$ {x}_{n+1}=\frac{x_{n-\left(k+1\right)}}{1+{x}_n{x}_{n-1}\dots {x}_{n-k}},n=0,1,2,\dots $$where x−(k+1); x−k; : : : ; x−1; x0 ???? (0;∞) and k = 0; 1; 2; : :… Click to show full abstract
A solution of the following difference equation is investigated:xn+1=xn−k+11+xnxn−1…xn−k,n=0,1,2,…$$ {x}_{n+1}=\frac{x_{n-\left(k+1\right)}}{1+{x}_n{x}_{n-1}\dots {x}_{n-k}},n=0,1,2,\dots $$where x−(k+1); x−k; : : : ; x−1; x0 ???? (0;∞) and k = 0; 1; 2; : : : .
Keywords:
left right;
right dots;
recursive sequence;
frac left;
xnxn frac
Journal Title: Journal of Mathematical Sciences
Year Published: 2018
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Journal Title: Journal of Mathematical Sciences
Year Published: 2018
Link to full text (if available)
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recommendations!