Turkish Journal of Mathematics and Computer Science
De Moivre-Type Identities for the Pell Numbers
Yazarlar: Seda YAMAÇ AKBIYIK, Mücahit AKBIYIK
Cilt 13 , Sayı 1 , 2021 , Sayfalar 63 - 67
Konular:Matematik
DOI:10.47000/tjmcs.835237
Anahtar Kelimeler:Pell numbers,Pell-Lucas numbers,De Moivre-type identity,Binet
Özet: 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.
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BibTex
KOPYALA
@article{2021, title={De Moivre-Type Identities for the Pell Numbers}, volume={13}, number={63–67}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Seda YAMAÇ AKBIYIK,Mücahit AKBIYIK}, year={2021} }
APA
KOPYALA
Seda YAMAÇ AKBIYIK,Mücahit AKBIYIK. (2021). De Moivre-Type Identities for the Pell Numbers (Vol. 13). Vol. 13. Turkish Journal of Mathematics and Computer Science.
MLA
KOPYALA
Seda YAMAÇ AKBIYIK,Mücahit AKBIYIK. De Moivre-Type Identities for the Pell Numbers. no. 63–67, Turkish Journal of Mathematics and Computer Science, 2021.