Yilmaz, FatihErtas, AybukeAkbiyik, Seda Yamac2024-09-112024-09-1120230354-5180https://doi.org/10.2298/FIL2325683Yhttps://hdl.handle.net/11363/8033In this study, we consider 7Cn := circ (GN1, GN2, ... , GNn) circulant matrices whose entries are the Gaussian Nickel Fibonacci numbers GN1, GN2, ... , GNn. Then, we compute determinants of 7Cn 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.eninfo:eu-repo/semantics/openAccessGaussian Nickel Fibonacci numbersDeterminantsCirculant matricesCassini's identityDeterminants of circulant matrices with Gaussian Nickel Fibonacci numbersArticle37258683869210.2298/FIL2325683Y2-s2.0-85165871157WOS:001027121000001Q2