journal-of-information-and-optimization-sciences Journal of Information and Optimization Sciences 2169-0103 0252-2667 Taru Publications 10.47974/JIOS-1355 On Leonardo Pisano dual quaternions Dağdeviren Ali Department of Weight and Balance, Turkish Aviation Academy, İstanbul, 34149, 34149 Kürüz Ferhat Department of Computer Engineering, Istanbul Gelisim University, Istanbul, 34310, Turkey Catarino P. Department of Mathematics, Quinta de Prados, University of Trás–os–Montes and Alto Douro, Vila Real, 5001-801, Portugal 45 1 131 143 05 02 2024

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.

 Recurrence relations Fibonacci numbers Leonardo Pisano numbers Dual quaternions access open retracted no