EN
Bi-Periodic Generalized Fibonacci Polynomials
Abstract
In this paper, we define bi-periodic generalized Fibonacci polynomials, which generalize Fibonacci, 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
References
- Horadam, AF. A Generalized Fibonacci sequence. The American Mathematical Monthly. 68(5), 1961, 455 – 459. Hoggatt Jr. VE, Bicknell M. Generalized Fibonacci polynomials and Zeckendorf ’s theorem. The The Fibonacci Quarterly. 11(4), 1973, 399 – 419. Horadam, AF. Jacobsthal and Pell Curves. The Fibonacci Quarterly. 26, 1988, 79 – 83.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Publication Date
December 30, 2022
Submission Date
December 4, 2022
Acceptance Date
December 26, 2022
Published in Issue
Year 2022 Volume: 7 Number: 3
APA
Taşyurdu, Y. (2022). Bi-Periodic Generalized Fibonacci Polynomials. Turkish Journal of Science, 7(3), 157-167. https://izlik.org/JA65XR83DF
AMA
1.Taşyurdu Y. Bi-Periodic Generalized Fibonacci Polynomials. TJOS. 2022;7(3):157-167. https://izlik.org/JA65XR83DF
Chicago
Taşyurdu, Yasemin. 2022. “Bi-Periodic Generalized Fibonacci Polynomials”. Turkish Journal of Science 7 (3): 157-67. https://izlik.org/JA65XR83DF.
EndNote
Taşyurdu Y (December 1, 2022) Bi-Periodic Generalized Fibonacci Polynomials. Turkish Journal of Science 7 3 157–167.
IEEE
[1]Y. Taşyurdu, “Bi-Periodic Generalized Fibonacci Polynomials”, TJOS, vol. 7, no. 3, pp. 157–167, Dec. 2022, [Online]. Available: https://izlik.org/JA65XR83DF
ISNAD
Taşyurdu, Yasemin. “Bi-Periodic Generalized Fibonacci Polynomials”. Turkish Journal of Science 7/3 (December 1, 2022): 157-167. https://izlik.org/JA65XR83DF.
JAMA
1.Taşyurdu Y. Bi-Periodic Generalized Fibonacci Polynomials. TJOS. 2022;7:157–167.
MLA
Taşyurdu, Yasemin. “Bi-Periodic Generalized Fibonacci Polynomials”. Turkish Journal of Science, vol. 7, no. 3, Dec. 2022, pp. 157-6, https://izlik.org/JA65XR83DF.
Vancouver
1.Yasemin Taşyurdu. Bi-Periodic Generalized Fibonacci Polynomials. TJOS [Internet]. 2022 Dec. 1;7(3):157-6. Available from: https://izlik.org/JA65XR83DF