De Moivre-Type Identities for the Pell Numbers

Year 2021, Volume: 13 Issue: 1, 63 - 67, 30.06.2021

Seda Yamaç Akbıyık , Mücahit Akbıyık

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

Cited By: 3

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.

Keywords

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

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