Padovan, Perrin and Pell-Padovan Dual Quaternions

Year 2023, Volume: 15 Issue: 1, 125 - 144, 30.06.2023

Zehra İşbilir , Nurten Gürses

https://doi.org/10.47000/tjmcs.999069

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.

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