Note on some representations of general solutions to homogeneous linear difference equations
Abstract It is known that every solution to the second-order difference equation x n = x n − 1 + x n − 2 = 0 $x_{n}=x_{n-1}+x_{n-2}=0$ , n ≥ 2 $n\ge 2$ , can be written in the following form x n = x 0 f n − 1 + x 1 f n $x_{n}=x_{0}f_{n-1}+x_{1}f_{n}$ , where f n $f_{n}$ is the Fibonacci sequence. He...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-09-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02944-y |