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Yıl 2022, Cilt: 7 Sayı: 3, 157 - 167, 30.12.2022

Yasemin Taşyurdu

Öz

Anahtar Kelimeler

Bi-periodic Fibonacci polynomials Fibonacci polynomial generalized Fibonacci polynomials

Kaynakça

  • 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

Yıl 2022, Cilt: 7 Sayı: 3, 157 - 167, 30.12.2022

Yasemin Taşyurdu

Öz

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.

Anahtar Kelimeler

Bi-periodic Fibonacci polynomials Fibonacci polynomial generalized Fibonacci polynomials

Kaynakça

  • 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.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Volume VII Issue III
Yazarlar

Yasemin Taşyurdu 0000-0002-9011-8269

Yayımlanma Tarihi 30 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.
AMA Taşyurdu Y. Bi-Periodic Generalized Fibonacci Polynomials. TJOS. Aralık 2022;7(3):157-167.
Chicago Taşyurdu, Yasemin. “Bi-Periodic Generalized Fibonacci Polynomials”. Turkish Journal of Science 7, sy. 3 (Aralık 2022): 157-67.
EndNote Taşyurdu Y (01 Aralık 2022) Bi-Periodic Generalized Fibonacci Polynomials. Turkish Journal of Science 7 3 157–167.
IEEE Y. Taşyurdu, “Bi-Periodic Generalized Fibonacci Polynomials”, TJOS, c. 7, sy. 3, ss. 157–167, 2022.
ISNAD Taşyurdu, Yasemin. “Bi-Periodic Generalized Fibonacci Polynomials”. Turkish Journal of Science 7/3 (Aralık 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, c. 7, sy. 3, 2022, ss. 157-6.
Vancouver Taşyurdu Y. Bi-Periodic Generalized Fibonacci Polynomials. TJOS. 2022;7(3):157-6.
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