Form of the solutions of difference equations via Lie symmetry analysis and Fibonacci numbers

Published in: Quaestiones Mathematicae
Volume 47 , issue 2 , 2024 , pages: 399–411

DOI: 10.2989/16073606.2023.2229520

Author(s): Melih Göcen Zonguldak Bülent, Ecevit University, Turkey , Mensah Folly-Gbetoula University of the Witwatersrand,

Keywords: 39A10 , 39A99 , 39A13 , Difference equation , form of the solutions , reduction , Lie symmetry analysis , Fibonacci numbers

In this paper, we give the form of the solutions of the following rational diﬀerence equation

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