A generalization of Fibonacci and Lucas matrices
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Publication:948682
DOI10.1016/j.dam.2007.09.028zbMath1188.15024OpenAlexW2027510214MaRDI QIDQ948682
Jovana Nikolov, Ivan P. Stanimirović, Predrag S. Stanimirović
Publication date: 17 October 2008
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.dam.2007.09.028
Combinatorial identities, bijective combinatorics (05A19) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)
Related Items (10)
k–step Fibonacci sequences and Fibonacci matrices ⋮ Moore–Penrose inverse of generalized Fibonacci matrix and its applications ⋮ Exact determinants of some special circulant matrices involving four kinds of famous numbers ⋮ Explicit determinants of the RFP\(r\)L\(r\)R circulant and RLP\(r\)F\(r\)L circulant matrices involving some famous numbers ⋮ Unnamed Item ⋮ A new family of \(k\)-Fibonacci numbers ⋮ On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers ⋮ Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials ⋮ On a new family of gauss k-Lucas numbers and their polynomials ⋮ A new family of Gauss (k,t)-Horadam numbers
Cites Work
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- The Lucas matrix and some combinatorial identities
- The linear algebra of the Pascal matrix
- Some combinatorial identities via Fibonacci numbers
- An involutory Pascal matrix
- Bernoulli matrix and its algebraic properties
- Inverting the Pascal Matrix Plus One
- The Fibonacci Numbers: Exposed
- Pascal's Matrices
- A Generalized Fibonacci Sequence
- Stirling matrix via Pascal matrix
- The linear algebra of the generalized Pascal matrix
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