A note on hyperbolic (p,q)-Fibonacci quaternions

DOI10.31801/cfsuasmas.582674zbMath1489.11033OpenAlexW3023206395MaRDI QIDQ5083679

Tülay Yağmur

Publication date: 20 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.582674

zbMATH Keywords

Fibonacci numbers\((p,q)\)-Fibonacci numbers\((p,q)\)-Fibonacci quaternionshyperbolic \((p,q)\)-Fibonacci quaternionshyperbolic quaternions

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On split \(k\)-Fibonacci and \(k\)-Lucas quaternions
• On a new generalization of Fibonacci quaternions
• Bicomplex Fibonacci quaternions
• On Fibonacci quaternions
• On complex Fibonacci quaternions
• On \((p,q)\)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums
• Split Fibonacci quaternions
• On the Fibonacci \(k\)-numbers
• My Numbers, My Friends
• Quaternion Fourier Transforms for Signal and Image Processing
• On some identities for k-Jacobsthal numbers
• On some identities and generating functions for k- Pell numbers
• A Generalized Fibonacci Sequence
• Complex Fibonacci Numbers and Fibonacci Quaternions
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