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Dergiler / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 1

De Moivre-Type Identities for the Pell Numbers

Seda YAMAÇ AKBIYIK, Mücahit AKBIYIK

Sayfa
63–67
DOI
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Abstract

This paper aims to present a method for constructing the second order Pell and Pell-Lucas numbers and the third order Pell and Pell-Lucas numbers.Moreover, we obtain the De Moivre-type identities for these numbers. In addition, we define a Pell sequence with new initial conditions and give some identities for these third order Pell numbers such as Binet's formulas, generating functions, sums.