Geodesic
Pell and Pell-Lucas hybrid quaternions
Filomat, Tome 37 (2023) no. 25, p. 8425

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DOI

In this paper, we investigate Pell and Pell-Lucas numbers what new properties we can obtain by working on a new number system-hybrid quaternions. Firstly, we present some new identities of Pell and Pell-Lucas numbers and quaternions. Then, with the help of these identities and previously known identities, we get new identities on Pell and Pell-Lucas hybrid quaternions, including Binet’s and Cassini’s identities.
DOI : 10.2298/FIL2325425K
Classification : 11B37, 11B39, 15A66
Keywords: Pell numbers, Pell-Lucas numbers, Hybrid numbers, Quaternions, Hybrid quaternions 
Ferhat Kürüz; Ali Dağdeviren. Pell and Pell-Lucas hybrid quaternions. Filomat, Tome 37 (2023) no. 25, p. 8425 . doi: 10.2298/FIL2325425K
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     author = {Ferhat K\"ur\"uz and Ali Da\u{g}deviren},
     title = {Pell and {Pell-Lucas} hybrid quaternions},
     journal = {Filomat},
     pages = {8425 },
     year = {2023},
     volume = {37},
     number = {25},
     doi = {10.2298/FIL2325425K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325425K/}
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