Padovan and Pell-Padovan Octonions

Year 2019, Volume: 11, 114 - 122, 30.12.2019

Yasemin Taşyurdu , Ayşe Akpınar

Abstract

In this paper, we define the Padovan and Pell-Padovan octonions by using the Padovan and Pell-Padovan numbers. We give the generating functions, Binet's

formulas, sums formulas and some properties for these octonions. We also present the matrix representations of the Padovan and Pell-Padovan octonions.

Keywords

Padovan numbers, Pell-Padovan numbers, Padovan octonions, Pell-Padovan octonions

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