GENERALIZED F-NOMIAL MATRIX AND FACTORIZATIONS

AŞCI M., TAŞCI D., TUĞLU N.

ARS COMBINATORIA, cilt.108, ss.81-95, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 108
  • Basım Tarihi: 2013
  • Dergi Adı: ARS COMBINATORIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.81-95
  • Anahtar Kelimeler: Generalized F - nomial, Generalized k-order Fibonacci, Factorizations, PASCAL MATRIX, FIBONACCI NUMBERS, LINEAR ALGEBRA, K-FIBONACCI
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study we define the generalized k-order Fibonacci matrix and the n x n generalized Pascal matrix F-n(GF) associated with generalized F-nomial coefficients. We find the inverse of generalized Pascal matrix F-n (GF) associated with generalized F-nomial coefficients. In the last section we factorize this matrix via generalized k-order Fibonacci matrix and give illustrative examples for these factorizations.