De Moivre-Type Identities for the Pell Numbers

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YAMAÇ AKBIYIK S., AKBIYIK M.

Turkish Journal of Mathematics and Computer Science, cilt.13, sa.1, ss.63-67, 2021 (TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: 1
• Basım Tarihi: 2021
• Doi Numarası: 10.47000/tjmcs.835237
• Dergi Adı: Turkish Journal of Mathematics and Computer Science
• Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.63-67
• İstanbul Gelişim Üniversitesi Adresli: Evet

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.