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Journal of Applied Mathematics and Computation

ISSN Online: 2576-0653 ISSN Print: 2576-0645 CODEN: JAMCEZ
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ArticleOpen Access http://dx.doi.org/10.26855/jamc.2018.03.003

The Pell, Modified Pell Identities via Orthogonal Projection

Yasemin ALP, Emine Gokcen Kocer*

Necmettin Erbakan University, Faculty of Science, Department of Mathematics-Computer Science, Meram, KONYA.

*Corresponding author: Emine Gokcen Kocer

71
Published: April 7,2018

Abstract

In this paper, we consider the space R(2,1) of modified Pell sequences and orthogonal bases of this space. These orthogonal bases are connected with the modified Pell numbers and Pell numbers. Using this orthogonal bases, we obtain the orthogonal projection onto a subspace r(2,1) of Rn. By using the orthogonal projection, we obtain the identities for the Pell, Pell-Lucas and modified Pell numbers.

Keywords

Orthogonal projection, Pell numbers, Binet’s formula

References

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Copyright

© 2018 by the author(s).
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license, which permits non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited and is not modified or adapted.
https://creativecommons.org/licenses/by-nc-nd/4.0/

How to cite this paper

The Pell, Modified Pell Identities via Orthogonal Projection

How to cite this paper: Yasemin ALP, Emine Gokcen Kocer. (2018). The Pell, Modified Pell Identities via Orthogonal Projection. Journal of Applied Mathematics and Computation, 2(3), 93-99.

DOI: http://dx.doi.org/10.26855/jamc.2018.03.003