Geodesic
A note on Catalan's identity for the $k$-Fibonacci quaternions
Journal of integer sequences, Tome 18 (2015) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Ramírez recently conjectured a version of Catalan's identity for the $k$-Fibonacci quaternions. In this note we give a proof of (a suitably reformulated version of) this identity.
Keywords: k-Fibonacci quaternion, Catalan's identity 
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     author = {Polatl{\i}, Emrah and Kesim, Seyhun},
     title = {A note on {Catalan's} identity for the $k${-Fibonacci} quaternions},
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Polatlı, Emrah; Kesim, Seyhun. A note on Catalan's identity for the $k$-Fibonacci quaternions. Journal of integer sequences, Tome 18 (2015) no. 8. http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a3/