TY  - JOUR
T1  - Bi-Periodic Generalized Fibonacci Polynomials
AU  - Taşyurdu, Yasemin
PY  - 2022
DA  - December
JF  - Turkish Journal of Science
JO  - TJOS
PB  - Ahmet Ocak AKDEMİR
WT  - DergiPark
SN  - 2587-0971
SP  - 157
EP  - 167
VL  - 7
IS  - 3
LA  - en
AB  - 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.
KW  - Bi-periodic Fibonacci polynomials
KW  - Fibonacci polynomial
KW  - generalized Fibonacci polynomials
CR  - 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.
UR  - https://dergipark.org.tr/en/pub/tjos/article/1214244
L1  - https://dergipark.org.tr/en/download/article-file/2811350
ER  -