- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 1
- De Moivre-Type Identities for the Pell Numbers
De Moivre-Type Identities for the Pell Numbers
Authors : Seda YAMAÇ AKBIYIK, Mücahit AKBIYIK
Pages : 63-67
Doi:10.47000/tjmcs.835237
View : 6 | Download : 2
Publication Date : 2021-06-30
Article Type : Research
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