De Moivre-Type Identities for the Pell Numbers

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Tarih

2021

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Erişim Hakkı

info:eu-repo/semantics/openAccess

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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Kaynak

Turkish Journal of Mathematics and Computer Science

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Cilt

13

Sayı

1

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