Araştırma Makalesi

Bi-Periodic Generalized Fibonacci Polynomials

Cilt: 7 Sayı: 3 30 Aralık 2022
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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

Kaynakça

  1. 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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

4 Aralık 2022

Kabul Tarihi

26 Aralık 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 7 Sayı: 3

Kaynak Göster

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 (01 Aralık 2022) Bi-Periodic Generalized Fibonacci Polynomials. Turkish Journal of Science 7 3 157–167.
IEEE
[1]Y. Taşyurdu, “Bi-Periodic Generalized Fibonacci Polynomials”, TJOS, c. 7, sy 3, ss. 157–167, Ara. 2022, [çevrimiçi]. Erişim adresi: https://izlik.org/JA65XR83DF
ISNAD
Taşyurdu, Yasemin. “Bi-Periodic Generalized Fibonacci Polynomials”. Turkish Journal of Science 7/3 (01 Aralık 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, c. 7, sy 3, Aralık 2022, ss. 157-6, https://izlik.org/JA65XR83DF.
Vancouver
1.Yasemin Taşyurdu. Bi-Periodic Generalized Fibonacci Polynomials. TJOS [Internet]. 01 Aralık 2022;7(3):157-6. Erişim adresi: https://izlik.org/JA65XR83DF