On the representation of k-generalized Fibonacci and Lucas numbers

Ocal A., TUĞLU N., Altinisik E.

APPLIED MATHEMATICS AND COMPUTATION, cilt.170, sa.1, ss.584-596, 2005 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 170 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.12.009
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.584-596
  • Anahtar Kelimeler: k-generalized Fibonacci numbers, k-generalized Lucas numbers, Hessenberg matrices, MATRIX-METHODS, BINET FORMULA, SEQUENCE
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper we give some determinantal and permanental representations of k-generalized Fibonacci and Lucas numbers. We obtain the Binet's formula for these sequences by using our representations. (c) 2005 Elsevier Inc. All rights reserved.