Geodesic
Determinants of circulant matrices with Gaussian Nickel Fibonacci numbers
Filomat, Tome 37 (2023) no. 25, p. 8683

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this study, we consider K n := circ (GN 1 , GN 2 ,. .. , GN n) circulant matrices whose entries are the Gaussian Nickel Fibonacci numbers GN 1 , GN 2 ,. .. , GN n. Then, we compute determinants of K n by exploiting Chebyshev polynomials of the second kind. Moreover, we obtain Cassini's identity and the D'Ocagne identity for the Gaussian Nickel Fibonacci numbers.
DOI : 10.2298/FIL2325683Y
Classification : 11B83, 11B37, 05A15
Keywords: Gaussian Nickel Fibonacci numbers, Determinants, Circulant matrices, Cassini’s identity 
Fatih Yilmaz; Aybüke Ertaş; Seda Yamaç Akbiyik. Determinants of circulant matrices with Gaussian Nickel Fibonacci numbers. Filomat, Tome 37 (2023) no. 25, p. 8683 . doi: 10.2298/FIL2325683Y
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     title = {Determinants of circulant matrices with {Gaussian} {Nickel} {Fibonacci} numbers},
     journal = {Filomat},
     pages = {8683 },
     year = {2023},
     volume = {37},
     number = {25},
     doi = {10.2298/FIL2325683Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325683Y/}
}
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