Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 7, Issue 3


Published
on

December 25, 2022


Pages

157-167


DOI

Article

Bi-Periodic Generalized Fibonacci Polynomials

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Authors

Yasemin Tasyurdu Affiliation:
Erzincan Binali Yıldırım University, Faculty of Arts and Sciences, Department of Mathematics, Erzincan, Turkey


Abstract

In this paper, we define bi-periodic generalized Fibonacci polynomials, which generalize Fi- bonacci, Pell, Jacobsthal, Fermat, Chebyshev polynomials and the other well-known polynomials. We obtain generating functions, Binet formulas and some properties of these polynomials. Also, we prove some fundamental identities conform to the known results of Fibonacci polynomials.


Keywords

Bi-periodic Fibonacci polynomials, Fibonacci polynomial, generalized Fibonacci polynomials.


Citation

Tasyurdu, Y. (2022). Bi-periodic generalized fibonacci polynomials. Turkish Journal of Science, 7(3), 157–167. https://doi.org/10.66833/TJOS-2022-0015

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