The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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PADOVAN AND LUCAS-PADOVAN QUATERNIONS

  • Gwangyeon Lee (Department of Mathematics, Hanseo University) ;
  • Kisoeb Park (Department of IT Convergence Software, Seoul Theological University)
  • Received : 2024.06.17
  • Accepted : 2024.08.26
  • Published : 2024.11.30
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Abstract

In this paper, we introduce the Lucas-Padovan quaternions sequence. Initiating the studies based on the Padovan quaternion coefficients in relation to their recurrence, their matrix representation is then defined. We investigate various aspects of these quaternions, including summation formulas and binomial sums.

Keywords

Acknowledgement

This work was supported by the Seoul Theological University Research Fund of 2024 and the authors are grateful to the referees for their valuable comments and suggestions for improvement of the paper.

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