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On balancing and Lucas-balancing quaternions

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Publication:2667548
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DOI10.2478/CM-2021-0010zbMath1487.11016OpenAlexW3152715108MaRDI QIDQ2667548

Bijan Kumar Patel, Prasanta Kumar Ray

Publication date: 4 March 2022

Published in: Communications in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cm-2021-0010


zbMATH Keywords

quaternionsrecurrence relationsbalancing numbersLucas-balancing numbers


Mathematics Subject Classification ID

Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)





Cites Work

  • On Pell quaternions and Pell-Lucas quaternions
  • The Pell quaternions and the Pell octonions
  • The modified Pell and the modified \(k\)-Pell quaternions and octonions
  • Fibonacci generalized quaternions
  • On Fibonacci quaternions
  • Complex Fibonacci Numbers and Fibonacci Quaternions
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