On the Fibonacci quaternion sequence with quadruple-produce components

DOI10.12697/ACUTM.2021.25.11zbMath1479.11036MaRDI QIDQ3385460

Orhan Dişkaya, Hamza Menken

Publication date: 18 December 2021

Published in: Acta et Commentationes Universitatis Tartuensis de Mathematica (Search for Journal in Brave)

zbMATH Keywords

generating functionFibonacci numbersseriesexponential generating functionquaterniongolden ratiobinomial sum

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On Pell quaternions and Pell-Lucas quaternions
• On Fibonacci quaternions
• On \((p,q)\)-Fibonacci quaternions and their Binet formulas, generating functions and certain binomial sums
• Fibonacci and Lucas Numbers with Applications
• Some results on the q-analogues of the incomplete Fibonacci and Lucas Polynomials
• Complex Fibonacci Numbers and Fibonacci Quaternions
• Quaternions and matrices of quaternions
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