Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials |
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| Authors: | Engin Özkan İpek Altun |
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| Institution: | 1. Department of Mathematics, Faculty of Arts and Sciences, Erzincan University, Erzincan, Turkey;2. eozkan@erzincan.edu.tr;4. Graduate School of Natural and Applied Sciences, Erzincan University, Erzincan, Turkey |
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| Abstract: | In this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their relationship are generalized in the paper. Furthermore, we give relationships between the Fibonacci polynomials and the Lucas polynomials. |
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| Keywords: | Fibonacci numbers Lucas numbers Fibonacci polynomials Lucas polynomials |
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