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Year 2022, Volume: 7 Issue: 3, 157 - 167, 30.12.2022

Yasemin Taşyurdu

Abstract

Keywords

Bi-periodic Fibonacci polynomials Fibonacci polynomial generalized Fibonacci polynomials

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.

Bi-Periodic Generalized Fibonacci Polynomials

Year 2022, Volume: 7 Issue: 3, 157 - 167, 30.12.2022

Yasemin Taşyurdu

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

Bi-periodic Fibonacci polynomials Fibonacci polynomial generalized Fibonacci polynomials

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.
There are 1 citations in total.

Details

Primary Language English
Journal Section Volume VII Issue III
Authors

Yasemin Taşyurdu 0000-0002-9011-8269

Publication Date December 30, 2022
Published in Issue Year 2022 Volume: 7 Issue: 3

Cite

APA Taşyurdu, Y. (2022). Bi-Periodic Generalized Fibonacci Polynomials. Turkish Journal of Science, 7(3), 157-167.
AMA Taşyurdu Y. Bi-Periodic Generalized Fibonacci Polynomials. TJOS. December 2022;7(3):157-167.
Chicago Taşyurdu, Yasemin. “Bi-Periodic Generalized Fibonacci Polynomials”. Turkish Journal of Science 7, no. 3 (December 2022): 157-67.
EndNote Taşyurdu Y (December 1, 2022) Bi-Periodic Generalized Fibonacci Polynomials. Turkish Journal of Science 7 3 157–167.
IEEE Y. Taşyurdu, “Bi-Periodic Generalized Fibonacci Polynomials”, TJOS, vol. 7, no. 3, pp. 157–167, 2022.
ISNAD Taşyurdu, Yasemin. “Bi-Periodic Generalized Fibonacci Polynomials”. Turkish Journal of Science 7/3 (December 2022), 157-167.
JAMA 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, 2022, pp. 157-6.
Vancouver Taşyurdu Y. Bi-Periodic Generalized Fibonacci Polynomials. TJOS. 2022;7(3):157-6.
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