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E. M. Elabbasy, H. El-Metwally, and E. Elsayed, β€œOn the difference equation ${ x_{n+1}=\frac{ax_{n}^{2}+bx_{n-1}x_{n-k}}{cx_{n}^{2}+dx_{n-1}x_{n-k}}}$”, sjm, vol. 4, no. 2, pp. 239–248, Jun. 2024.