On the representation of \(k\)-generalized Fibonacci and Lucas numbers
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Publication:2572043
DOI10.1016/j.amc.2004.12.009zbMath1151.11305OpenAlexW2056328718MaRDI QIDQ2572043
Ahmet Ali Öcal, Naim Tuglu, Ercan Altinisik
Publication date: 14 November 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2004.12.009
Related Items (14)
Determinantal and permanental representations of Fibonacci type numbers and polynomials ⋮ Determinantal and permanental representations of convolved \((u, v)\)-Lucas first kind \(p\)-polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The matrix sequence in terms of bi-periodic Fibonacci numbers ⋮ An exponential equation involving k-Fibonacci numbers ⋮ On some fibinomial identities ⋮ Unnamed Item ⋮ Determinantal and permanental representations of convolved Lucas polynomials ⋮ A new family of \(k\)-Fibonacci numbers ⋮ On \(k\)-Fibonacci numbers of arithmetic indexes ⋮ A new method to compute the terms of generalized order-\(k\) Fibonacci numbers ⋮ On a new family of gauss k-Lucas numbers and their polynomials ⋮ A new family of Gauss (k,t)-Horadam numbers
Cites Work
- On determinants of Toeplitz-Hessenberg matrices arising in power series
- An application of Fibonacci numbers in matrices.
- \(k\)-Lucas numbers and associated bipartite graphs
- On the order-\(k\) generalized Lucas numbers
- Fibonacci properties by matrix methods
- Generalized Fibonacci Numbers and Associated Matrices
- Fibonacci Determinants
- On Generalized Fibonacci Numbers
- A Generalized Fibonacci Sequence
- On the \(k\)-generalized Fibonacci matrix \(Q_k\)
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