De Moivre-Type Identities for the Pell Numbers

Authors : Seda YAMAÇ AKBIYIK, Mücahit AKBIYIK

Pages : 63-67

Doi:10.47000/tjmcs.835237

View : 24 | Download : 8

Publication Date : 2021-06-30

Article Type : Research Paper

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