Some properties of (p, q)-Fibonacci-like and (p, q)-Lucas numbers

Boonyen Thongkam, Khuanphirom Butsuwan and Phonpriya Bunya
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 26, 2020, Number 1, Pages 216-224
DOI: 10.7546/nntdm.2020.26.1.216-224
Download full paper: PDF, 149 Kb

Details

Authors and affiliations

Boonyen Thongkam
Department of Mathematics, Faculty of Science, Ubon Ratchathani Rajabhat University
Ubon Ratchathani, 34000, Thailand

Khuanphirom Butsuwan
Department of Mathematics, Faculty of Science, Ubon Ratchathani Rajabhat University
Ubon Ratchathani, 34000, Thailand

Phonpriya Bunya
Department of Mathematics, Faculty of Science, Ubon Ratchathani Rajabhat University
Ubon Ratchathani, 34000, Thailand

Abstract

In this paper, we present the investigation of products of (p, q)-Fibonacci-like and (p, q)-Lucas numbers. It also reveals some properties on the products of (p, q)-Fibonacci like and (p, q)-Lucas numbers.

Keywords

  • Fibonacci numbers
  • (p, q)-Fibonacci-like numbers
  • (p, q)-Lucas numbers

2010 Mathematics Subject Classification

  • 11B39

References

  1. Suvarnamani, A., & Tatong, M. (2015). Some Properties of (p, q)-Fibonacci Numbers, Science and Technology RMUTT Journal, 5 (2), 17–21.
  2. Suvarnamani, A. (2016). Some Properties of (p, q)-Lucas Number, Kyungpook
    Mathematical Journal, 56 (2), 367–370.
  3. Suvarnamani, A. (2016). On the Odd and Even Terms of (p, q)-Fibonacci Number and (p, q)-Lucas Number, NSRU Science and Technology Journal, 8 (8), 73–78.
  4. Suvarnamani, A. (2017). Some Identities of (p, q)-Fibonacci numbers by Matrix Methods, Phanakhon Rajabhat Research journal Science and Technology, 12 (2), 49–53.
  5. Suvarnamani, A., & Tatong, M. (2017). Some Properties of the Product of (p, q)-Fibonacci and (p, q)-Lucas Number, International Journal of GEOMATE, 13 (37), 16–19.
  6. Singh, B., Sikhwal, O., & Bhatnagar, S. (2010). Fibonacci-like Sequence and its Properties Int. J. Contemp. Math. Sciences, 5 (18), 859–868.
  7. Gupta, Y. K., Singh, M., & Sikhwal, O. (2014). Generalized Fibonacci-like Sequence Associated with Fibonacci and Lucas Sequences, Turkish Journal of Analysis and Number Theory, 2 (6), 233–238.
  8. Wani, A. A., Rathore, G. P. S., & Sisodiya, K. (2016). On The Properties of Fibonacci-like Sequence, International Journal of Mathematics Trends and Technology, 29 (2), 80–86.
  9. Suvarnamani, A. (2018). Some properties of the generalized (p, q)-Fibonacci-like number, MATEC Web of Conferences, 189, 03028.

Related papers

Cite this paper

Thongkam, B., Butsuwan, K., & Bunya, P. (2020). Some properties of (p, q)-Fibonacci-likeand (p, q)-Lucas numbers. Notes on Number Theory and Discrete Mathematics, 26(1), 216-224, doi: 10.7546/nntdm.2020.26.1.216-224.

Comments are closed.