On Generalized Pell Numbers of Order r ≥ 2

Authors

DOI:

https://doi.org/10.5540/tcam.2021.022.01.00125

Keywords:

Generalized Pell fundamental system, Generalized Pell numbers, Combinatorial identities, Analytic representations, Generalized Cassini identity

Abstract

In this paper we investigate the generalized Pell numbers of order r ≥ 2 through the properties of their related fundamental system of generalized Pell numbers. That is, the generalized Pell number of order r ≥ 2; are expressed as a linear combination of a fundamental system of generalized Pell numbers. The properties of this fundamental system are examined and results can be established for generalized Pell numbers of order r ≥ 2. Some identities and combinatorial results are established. Moreover, the analytic study of the fundamental system of generalized Pell is provided. Furthermore, the generalized Pell Cassini identity type is provided.

Author Biography

E. V. Pereira Spreafico, Federal University of Mato Grosso do Sul

Institute of Mathematics- INMA

References

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Published

2021-04-17

How to Cite

Pereira Spreafico, E. V., & Rachidi, M. (2021). On Generalized Pell Numbers of Order r ≥ 2. Trends in Computational and Applied Mathematics, 22(1), 125–138. https://doi.org/10.5540/tcam.2021.022.01.00125

Issue

Vol. 22 No. 1 (2021)

Section

Original Article

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