On Fibo-Pascal Matrix Involving k-Fibonacci and k-Pell Matrices

TAŞCI D., TUĞLU N., Asci M.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, vol.36, no.6, pp.1031-1037, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 6
  • Publication Date: 2011
  • Doi Number: 10.1007/s13369-011-0091-3
  • Journal Name: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1031-1037
  • Keywords: k-Fibonacci, k-Pell, Factorization, Fibonomial, LINEAR ALGEBRA, IDENTITIES, NUMBERS
  • Gazi University Affiliated: Yes

Abstract

In this paper, we get new factorizations of Pascal matrix via Fibonomial coefficients named Fibo-Pascal matrix involving the k-Fibonacci matrix and k-Pell matrix. We give illustrative examples about these factorizations. If we get k = 2, the well-known Fibonacci and Pell matrices are obtained and the factorizations in Tuglu and Kocer (The generalized Pascal matrices via Fibonomial coefficients, 2011) are the special cases of our factorizations.