Abstract: Denote by {Fn} and {Ln} the Fibonacci numbers and Lucas numbers, respectively. Let Fn = Fn × Ln and Ln = Fn + Ln. Denote by {Pn} and {Qn} the Pell numbers and Pell-Lucas numbers, respectively. Let Pn = Pn × Qn and Qn = Pn + Qn. In this paper, we give some determinants and permanent representations of Pn, Qn, Fn and Ln. Also, complex factorization formulas for those numbers are presented.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Fuliang Lu, Zhaolin Jiang, "The Sum and Product of Fibonacci Numbers and Lucas Numbers, Pell Numbers and Pell-Lucas Numbers Representation by Matrix Method," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Fuliang Lu, Zhaolin Jiang. The Sum and Product of Fibonacci Numbers and Lucas Numbers, Pell Numbers and Pell-Lucas Numbers Representation by Matrix Method.
WSEAS Transactions on Mathematics. 2013;12:-.