On the (s,t)-Pell and (s,t)-Pell-Lucas Polynomials

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Published: Aug 10, 2021
DOI: https://doi.org/10.14456/past.2021.15
Keywords:
(s,t)-Pell Number (s,t)-Pell-Lucas Number (s,t)-Pell Polynomial (s,t)-Pell-Lucas Polynomial

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Somnuk Srisawat
Department of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi
Wanna Sriprad
Department of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi

Abstract

In this paper, we introduced the generalization of Pell and Pell-Lucas polynomials, which are called  -Pell and - Pell-Lucas polynomials. We also give the Binet formula and the generating function for these polynomials. Finally, we obtain some identities by using the Binet formulas.

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How to Cite
1.
Srisawat S, Sriprad W. On the (s,t)-Pell and (s,t)-Pell-Lucas Polynomials. Prog Appl Sci Tech. [Internet]. 2021 Aug. 10 [cited 2024 Apr. 26];11(2):22-5. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/243991
Issue
Vol. 11 No. 2 (2021): May - August 2021
Section
Mathematics and Applied Statistics
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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