De Moivre-Type Identities for the Pell Numbers

Yıl 2021, Cilt: 13 Sayı: 1, 63 - 67, 30.06.2021

Seda Yamaç Akbıyık , Mücahit Akbıyık

https://doi.org/10.47000/tjmcs.835237

Cited By: 2

Öz

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.

Anahtar Kelimeler

Pell numbers, Pell-Lucas numbers, De Moivre-type identity, binet

Kaynakça

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