Padovan and Perrin generalized quaternions

DOI10.1002/mma.7495OpenAlexW3170180256MaRDI QIDQ6142058

Nurten Gürses (Bayrak), Zehra İşbilir

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7495

zbMATH Keywords

generating functionsbinomial sumsgeneralized quaternionsPadovan numbersPerrin numbersBinet-like formulae

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Pell quaternions and Pell-Lucas quaternions
• A note on Jacobsthal quaternions
• The modified Pell and the modified \(k\)-Pell quaternions and octonions
• On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences
• Fibonacci generalized quaternions
• On a generalization for Tribonacci quaternions
• Matrix sequences in terms of Padovan and Perrin numbers
• Dom Hans Van der Laan and the plastic number
• On Fibonacci quaternions
• Third-order Jacobsthal generalized quaternions
• Generalized quaternions and their algebraic properties
• Some properties of the symbol algebras
• Properties of Cordonnier, Perrin and Van der Laan numbers
• Fibonacci and Lucas Numbers With Applications
• GAUSSIAN PADOVAN AND GAUSSIAN PELL- PADOVAN SEQUENCES
• Some properties of Padovan quaternion
• Pell and Pell–Lucas Numbers with Applications
• Complex Fibonacci Numbers and Fibonacci Quaternions

This page was built for publication: Padovan and Perrin generalized quaternions