On Some Identities of the (s,t)-Pell and (s,t)-Pell-Lucas Polynomial Sequences

Article Sidebar

PDF
Published: Dec 15, 2022
DOI: https://doi.org/10.14456/past.2022.9
Keywords:
(s,t)-Pell polynomial (s,t)-Pell-Lucas polynomial recursive sequence

Main Article Content

Piyanut Puangjumpa
Department of Mathematics, Faculty of Science and Technology, Surindra Rajabhat University
Sa-at Muangchan
Department of Mathematics and Statistics, Faculty of Science and Technology, Sakon Nakhon Rajabhat University

Abstract

In this paper, we establish some identities of the relations between the (s,t)-Pell and (s,t)-Pell-Lucas polynomial sequences. Moreover, we obtain some identities of limits for the (s,t)-Pell and (s,t)-Pell-Lucas polynomial sequences.

Article Details

How to Cite
1.
Puangjumpa P, Muangchan S- at. On Some Identities of the (s,t)-Pell and (s,t)-Pell-Lucas Polynomial Sequences. Prog Appl Sci Tech. [Internet]. 2022 Dec. 15 [cited 2024 Nov. 15];12(3):15-8. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/247253
Issue
Vol. 12 No. 3 (2022): September - December 2022
Section
Mathematics and Applied Statistics
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Author Biography

Piyanut Puangjumpa, Department of Mathematics, Faculty of Science and Technology, Surindra Rajabhat University

Department of Mathematics, Faculty of Science and Technology, Surindra Rajabhat University

Crossref
Scopus
Google Scholar
Europe PMC

References

Koshy T. Pell and Pell-Lucas numbers with applications, Berlin: Springer; 2014.

Segio F, Angle P. On k-Fibonacci sequences and polynomials and their derivatives. Chaos and Solutions and Fractals. 2009; 39: 1005-1019.

Srisawat S, Sripad W. Some identities for (s,t)-Pell and (s,t)-Pell-Lucas numbers and its application to Diophantine equations. SNRU Journal of Science and Technology. 2017; 9(1):424-431.

Jose L. R. Incomplete generalized Fibonacci and Lucas polynomials. Hacettepe Journal of Mathematics and Statistics. 2015; 44(2): 363-373.

Nalli A, Haukkanen P. On generalized Fibonacci and Lucas polynomials. Chaos, Solutions and Fractals. 2009; 42: 3179-3186.

Horadam A. F, Mahon B. J. M. Pell and Pell-Lucas polynomials. Fibonacci Quart. 1985; 23: 7-20.

Gulec H. H, Taskara N. On the (s,t)-Pell and (s,t)-Pell-Lucas sequencesand their marix representations. Applied Mathematics Letters. 2012; 25: 1554-1559.

Srisawat S, Sripad W. On the (s,t)-Pell and (s,t)-Pell-Lucas numbers by matrix methods. Annales Mathematicae et Informaticae. 2016; 46: 195-204.

Srisawat S, Sripad W. On some identities and generating functions for (s,t)-Pell and (s,t)-Pell-Lucas numbers. Science and Technology RMUTT Journal. 2017; 7(2):194-199.

Srisawat S, Sripad W. On the (s,t)-Pell and (s,t)-Pell-Lucas polynomials. Progress in Applied Science and Technology. 2021; 11(2): 22-25.