GAUSSIAN DUAL FIBONACCI NUMBERS

Aydin F. T., YÜCE S.

UTILITAS MATHEMATICA, cilt.106, ss.185-199, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 106
  • Basım Tarihi: 2018
  • Dergi Adı: UTILITAS MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.185-199
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, firstly we defined Gaussian dual number and Gaussian dual Fibonacci numbers later, we obtained two-dimensional recurrence relations and some results regarding Gaussian dual Fibonacci numbers. It is the purpose of this paper to add to the literature of properties and identities relating to Gaussian dual Fibonacci sequence and generalized Gaussian dual Fibonacci sequences. Also, we show recurrence relations for generalized Gaussian dual Fibonacci sequences. Ultimately, we investigated Gaussian dual Fibonacci sequence in higher dimensional.