Padovan, Perrin and Pell-Padovan Dual Quaternions

Authors : Zehra İŞBİLİR, Nurten GÜRSES

Pages : 125-144

Doi:10.47000/tjmcs.999069

View : 51 | Download : 31

Publication Date : 2023-06-30

Article Type : Research Paper

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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