Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions

José L. Ramírez

doi:10.1515/auom-2015-0037

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Some Combinatorial Properties of the k-Fibonacci and the k-Lucas Quaternions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 23 (2015): Issue 2 (June 2015)

By: José L. Ramírez

Open Access

|Apr 2017

Abstract

In this paper, we define the k-Fibonacci and the k-Lucas quaternions. We investigate the generating functions and Binet formulas for these quaternions. In addition, we derive some sums formulas and identities such as Cassini’s identity.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2015-0037 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 201 - 212

Submitted on: Jan 1, 2014

Accepted on: Jun 1, 2014

Published on: Apr 22, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2017 José L. Ramírez, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 23 (2015): Issue 2 (June 2015)