Determinants of circulant matrices with Gaussian Nickel Fibonacci numbers

YILMAZ F., Ertaş A., Akbiyik S.

Filomat, vol.37, no.25, pp.8683-8692, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 25
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2325683y
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.8683-8692
  • Keywords: Cassini’s identity, Circulant matrices, Determinants, Gaussian Nickel Fibonacci numbers
  • Istanbul Gelisim University Affiliated: Yes

Abstract

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.