On Leonardo Pisano dual quaternions


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Dağdeviren A., Kürüz F., Catarino P.

On Leonardo Pisano dual quaternions, vol.45, no.1, pp.131-143, 2024 (ESCI)

  • Publication Type: Article / Article
  • Volume: 45 Issue: 1
  • Publication Date: 2024
  • Journal Name: On Leonardo Pisano dual quaternions
  • Journal Indexes: Emerging Sources Citation Index (ESCI), ABI/INFORM, INSPEC, MathSciNet, zbMATH
  • Page Numbers: pp.131-143
  • Istanbul Gelisim University Affiliated: Yes

Abstract

In this work, firstly we introduce the Leonardo Pisano dual quaternions combining Leonardo Pisano numbers and dual quaternions. Then we examine some fundamental properties and identities of the Leonardo Pisano dual quaternions, such as recurrence relations, generating function, summing formulas, Binet’s formula, Cassini and Catalan’s identities.