Title | ||
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On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers |
Abstract | ||
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In this paper, we establish several new connections between the generalizations of Fibonacci and Lucas sequences and Hessenberg determinants. We also give an interesting conjecture related to the determinant of an infinite pentadiagonal matrix with the classical Fibonacci and Gaussian Fibonacci numbers. |
Year | DOI | Venue |
---|---|---|
2014 | 10.1016/j.amc.2013.12.071 | Applied Mathematics and Computation |
Keywords | Field | DocType |
pentadiagonal determinant,fibonacci-like number,hessenberg determinant,new connection,interesting conjecture,gaussian fibonacci number,classical fibonacci,infinite pentadiagonal matrix,lucas sequence,fibonacci numbers | Combinatorics,Lucas sequence,Generalization,Gaussian,Pisano period,Pentadiagonal matrix,Conjecture,Mathematics,Fibonacci polynomials,Fibonacci number | Journal |
Volume | ISSN | Citations |
229, | 0096-3003 | 1 |
PageRank | References | Authors |
0.38 | 6 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ahmet Ipek | 1 | 7 | 1.82 |
Kamil Arı | 2 | 1 | 0.38 |