A generalization of Fibonacci and Lucas quaternions

DOI10.1007/S00006-015-0626-XzbMath1368.11016OpenAlexW2283945594MaRDI QIDQ297586

Emrah Polatli

Publication date: 27 June 2016

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

Full work available at URL: https://doi.org/10.1007/s00006-015-0626-x

zbMATH Keywords

extended Binet formulasgeneralized Fibonacci quaternionsgeneralized Lucas quaternions

Mathematics Subject Classification ID

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

Related Items (8)

On the bi-periodic Lucas octonions ⋮ On higher order Fibonacci hyper complex numbers ⋮ On Generalized Tribonacci Sedenions ⋮ On generalized Pentanacci quaternions ⋮ New families of Fibonacci and Lucas octonions with \(Q\)-integer components ⋮ Unnamed Item ⋮ On split quaternion equivalents for quaternaccis, shortly split quaternaccis ⋮ On higher order Fibonacci quaternions

Cites Work

• Two generalizations of Lucas sequence
• New identities for generalized Fibonacci sequences and new generalization of Lucas sequences
• Fibonacci generalized quaternions
• A note on \(h(x)\)-Fibonacci quaternion polynomials
• The generating function of a family of the sequences in terms of the continuant
• A note on generalized Fibonacci sequences
• On Fibonacci quaternions
• Split Fibonacci quaternions
• The k-Periodic Fibonacci Sequence and an Extended Binet's Formula
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• Complex Fibonacci Numbers and Fibonacci Quaternions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A generalization of Fibonacci and Lucas quaternions