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.
How to cite this paper
The Pell, Modified Pell Identities Via Orthogonal Projection
Yasemin ALP and Emine Gokcen Kocer
Necmettin Erbakan University, Faculty of Science, Department of Mathematics-Computer Science, Meram, KONYA
Email: yaseminalp66@gmail.com
Email: ekocer@konya.edu.tr
Corresponding author: Emine Gokcen Kocer, Necmettin Erbakan University, Faculty of Science, Department of Mathematics-Computer Science, Meram, Konya
Email: ekocer@konya.edu.tr
How to cite this paper: ALP, Y. & Kocer, E.G. (2018) The Pell, Modified Pell Identities Via Orthogonal Projection. Journal of Applied Mathematics and Computation, 2(3), 93-99.
http://dx.doi.org/10.26855/jamc.2018.03.003
