On generalized Pentanacci quaternions

DOI10.32513/tbilisi/1608606056zbMath1487.05025OpenAlexW3116936328MaRDI QIDQ2143700

Nejla Özmen, Yüksel Soykan, Melih Gocen

Publication date: 31 May 2022

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32513/tbilisi/1608606056

zbMATH Keywords

quaternionsPentanacci numbersPentanacci quaternionsPentanacci-Lucas quaternions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Cites Work

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• The Pell quaternions and the Pell octonions
• The modified Pell and the modified \(k\)-Pell quaternions and octonions
• A generalization of Fibonacci and Lucas quaternions
• On a generalization for Tribonacci quaternions
• Identities for third order Jacobsthal quaternions
• On a generalization for Fibonacci quaternions
• Some properties of generalized Tribonacci quaternions
• On some Properties of Tribonacci Quaternions
• A simplified Binet formula for k-generalized Fibonacci numbers
• Complex Fibonacci Numbers and Fibonacci Quaternions

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