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De Moivre-Type Identities for the Pell Numbers
2021
Journal:  
Turkish Journal of Mathematics and Computer Science
Author:  
DOI:  
10.47000/tjmcs.835237
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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Turkish Journal of Mathematics and Computer Science

Journal Type :   Uluslararası

Details
Turkish Journal of Mathematics and Computer Science