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Journals / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 1

De Moivre-Type Identities for the Pell Numbers

Seda YAMAÇ AKBIYIK
Mücahit AKBIYIK
Pages
63–67
Publication Date
2022-11-02
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

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Cite This Article

AKBIYIK, S. Y., AKBIYIK, M. (2022). De Moivre-Type Identities for the Pell Numbers. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 1, 63–67. https://ajindex.com/articles/609071

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