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
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.
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.