Solutions of a generalized Markoff equation in Fibonacci numbers

Year, pages: 2020, 1069 - 1078

In this paper, we find all the solutions $(X,Y,Z)=(F_I, F_J, F_K)$, where $F_I, F_J$, and $F_K$ represent nonzero Fibonacci numbers, satisfying a generalization of Markoff equation called the Jin-Schmidt equation: $AX² + BY² +CZ² = DXYZ+1$.

Hashim, H., Tengely, S. 2020. Solutions of a generalized Markoff equation in Fibonacci numbers. In Mathematica Slovaca, vol. 70, no.5, pp. 1069-1078. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0414

Hashim, H., Tengely, S. (2020). Solutions of a generalized Markoff equation in Fibonacci numbers. Mathematica Slovaca, 70(5), 1069-1078. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0414

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava