Let Q and R be the well-known matrices associated with Fibonacci and Lucas numbers, and k, m, and n be any integers. It is mainly established all solutions of the matrix equations c<sub>1</sub>Q<sup>n</sup> + c<sub>2</...
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https://www.riss.kr/link?id=A106958208
2020
English
KCI등재,ESCI
학술저널
235-249(15쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
Let Q and R be the well-known matrices associated with Fibonacci and Lucas numbers, and k, m, and n be any integers. It is mainly established all solutions of the matrix equations c<sub>1</sub>Q<sup>n</sup> + c<sub>2</...
Let Q and R be the well-known matrices associated with Fibonacci and Lucas numbers, and k, m, and n be any integers. It is mainly established all solutions of the matrix equations c<sub>1</sub>Q<sup>n</sup> + c<sub>2</sub>Q<sup>m</sup> = Q<sup>k</sup>, c<sub>1</sub>Q<sup>n</sup> + c<sub>2</sub>Q<sup>m</sup> = RQ<sup>k</sup>, and c<sub>1</sub>Q<sup>n</sup> + c<sub>2</sub>RQ<sup>m</sup> = Q<sup>k</sup> with unknowns c<sub>1</sub>, c<sub>2</sub> ∈ ℂ*. Moreover, using the obtained results, it is presented many identities, some of them are available in the literature, and the others are new, related to the Fibonacci and Lucas numbers.
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