NEGATIVELY SUBSCRIPTED FIBONACCI AND LUCAS NUMBERS AND THEIR COMPLEX FACTORIZATIONS

Kilic E., Tasci D.

ARS COMBINATORIA, cilt.96, ss.275-288, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 96
  • Basım Tarihi: 2010
  • Dergi Adı: ARS COMBINATORIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.275-288
  • Anahtar Kelimeler: Fibonacci and Lucas numbers, tridiagonal matrices, determinant, permanent, factorization
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we find families of (0, -1, 1) -tridiagonal matrices whose determinants and permanents equal to the negatively subscripted Fibonacci and Lucas numbers. Also we give complex factorizations of these numbers by the first and second kinds of Chebyshey polynomials.