| Issue |
MATEC Web Conf.
Volume 189, 2018
2018 2nd International Conference on Material Engineering and Advanced Manufacturing Technology (MEAMT 2018)
|
|
|---|---|---|
| Article Number | 03028 | |
| Number of page(s) | 6 | |
| Section | Cloud & Network | |
| DOI | https://doi.org/10.1051/matecconf/201818903028 | |
| Published online | 10 August 2018 | |
Some properties of the generalized (p,q)- Fibonacci-Like number
Department of Mathematics, Rajamangala University of Technology Thanyaburi, Thailand
Corresponding author: kotmaster2@rmutt.ac.th
For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q) – Lucas sequence. Such as, Falcon and Plaza showed some results of the k-Fibonacci sequence. Then many researchers showed some results of the k-Fibonacci- Like number. Moreover, Suvarnamani and Tatong showed some results of the (p, q) - Fibonacci number. They found some properties of the (p,q) – Fibonacci number and the (p,q) – Lucas number. There are a lot of open problem about them. In this paper, we studied about the generalized (p,q)- Fibonacci-Like sequence. We establish properties like Catalan’s identity, Cassini’s identity, Simpson’s identity, d’Ocagne’s identity and Generating function for the generalized (p,q)-Fibonacci-Like number by using the Binet formulas. However, all results which be showed in this paper, are generalized of the (p,q) – Fibonacci-like number and the (p,q) – Fibonacci number. Corresponding author: kotmaster2@rmutt.ac.th
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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