The Fibonacci-circulant sequences and their applications

DOI10.1007/s40995-017-0317-7zbMath1391.11026OpenAlexW2765532414MaRDI QIDQ724912

Ömür Deveci, Colin M. Campbell, Erdal Karaduman

Publication date: 26 July 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0317-7

zbMATH Keywords

circulant matrixlengthgroupauxiliary equationsequence

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

The Fibonacci-circulant sequences in the binary polyhedral groups ⋮ A new generalization of the Frank matrix and its some properties ⋮ The Tribonacci-type balancing numbers and their applications ⋮ Unnamed Item ⋮ On the arrowhead-Fibonacci numbers ⋮ On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications ⋮ THE DIHEDRAL-TYPE ADJACENCY SEQUENCES ⋮ Classes of non-commutative semigroups with finite Fibonacci invariants ⋮ The complex-typek-Fibonacci sequences and their applications

Cites Work

• Fibonacci lengths involving the Wall number \(k(n)\).
• Truncated Lucas sequence and its period
• The cyclic groups via the Pascal matrices and the generalized Pascal matrices
• VanderLaan circulant type matrices
• The Jacobsthal sequences in finite groups
• Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbers
• The Rank of Circulant Matrices
• Fibonacci Series Modulo m
• Finite p -Quotients of Some Cyclically Presented Groups
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