De Moivre-Type Identities for the Pell Numbers

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Copy For Citation

YAMAÇ AKBIYIK S., AKBIYIK M.

Turkish Journal of Mathematics and Computer Science, vol.13, no.1, pp.63-67, 2021 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 13 Issue: 1
• Publication Date: 2021
• Doi Number: 10.47000/tjmcs.835237
• Journal Name: Turkish Journal of Mathematics and Computer Science
• Journal Indexes: TR DİZİN (ULAKBİM)
• Page Numbers: pp.63-67
• Istanbul Gelisim University Affiliated: Yes

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.