Determinants of circulant matrices with Gaussian Nickel Fibonacci numbers

YILMAZ F., Ertaş A., Akbiyik S.

Filomat, cilt.37, sa.25, ss.8683-8692, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 25
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2325683y
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.8683-8692
  • Anahtar Kelimeler: Cassini’s identity, Circulant matrices, Determinants, Gaussian Nickel Fibonacci numbers
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this study, we consider Kn:= circ (GN1, GN2, …, GNn) circulant matrices whose entries are the Gaussian Nickel Fibonacci numbers GN1, GN2, …, GNn. Then, we compute determinants of Kn 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.