Investigation of dual-complex Fibonacci, dual-complex Lucas numbers and their properties

DOI10.1007/s00006-017-0813-zzbMath1386.11030OpenAlexW2756144137MaRDI QIDQ1686878

Mehmet Ali Güngör, Ayşe Zeynep Azak

Publication date: 18 December 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-017-0813-z

zbMATH Keywords

dual-complex Fibonacci numbersdual-complex Lucas numbersdual-complex numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

Dual-hyperbolic Pell quaternions ⋮ Dual complex Fibonacci \(p\)-numbers ⋮ Dual-complex generalized k-Horadam numbers ⋮ Two generalizations of dual-complex Lucas-balancing numbers ⋮ On a new one-parameter generalization of dual-complex Jacobsthal numbers ⋮ Dual-complex \(k\)-Fibonacci numbers

Cites Work

• A new aspect of dual Fibonacci quaternions
• Fibonacci generalized quaternions
• A new approach to Fibonacci, Lucas numbers and dual vectors
• Fibonacci's \textit{Liber abaci}. A translation into modern English of Leonardo Pisano's \textit{Book of calculation}. Transl. from the Latin and with an introduction, notes and bibliography by L. E. Sigler
• On Fibonacci quaternions
• On complex Fibonacci quaternions
• Dual Fibonacci quaternions
• Split Fibonacci quaternions
• Complex Fibonacci Numbers and Fibonacci Quaternions
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