- Turkish Journal of Mathematics and Computer Science
- Vol: 15 Issue: 1
- Padovan, Perrin and Pell-Padovan Dual Quaternions
Padovan, Perrin and Pell-Padovan Dual Quaternions
Authors : Zehra İŞBİLİR, Nurten GÜRSES
Pages : 125-144
Doi:10.47000/tjmcs.999069
View : 10 | Download : 22
Publication Date : 2023-06-30
Article Type : Research Article
Abstract :In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual quaternions with nonnegative and negative subscripts. In line with this purpose, we construct some new properties such as; special determinant equalities, new recurrence relations, matrix formulas, Binet-like formulas, generating functions, exponential generating functions, summation formulas, and binomial properties for these special dual quaternions.Keywords : Padovan numbers, Perrin numbers, Pell-Padovan numbers, dual quaternions.