Fibonacci polynomials - Open Access .click

Analysis and Mathematical Physics, 2021
It has long been recognized that Fibonacci-type recurrence relations can be used to define a set of versatile polynomials $$\{ p_{n} (z)\}$$ that have Fibonacci numbers and Chebyshev polynomials as special cases. We show that a tridiagonal matrix, which can
H. A. Yamani
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Optimal study on fractional fascioliasis disease model based on generalized Fibonacci polynomials

Mathematical methods in the applied sciences, 2023
Fascioliasis is a liver fluke disease in which food and water are the transmitting agents. The disease is caused by a genus of Fasciola, parasitic Trematoda. The genus Fasciola includes two species of Fasciola gigantica and Fasciola hepatica.
Z. Avazzadeh +5 more
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Explicit, determinantal, recursive formulas, and generating functions of generalized Humbert–Hermite polynomials via generalized Fibonacci polynomials

Mathematical methods in the applied sciences, 2023
In this paper, using the Faà di Bruno formula and some properties of the Bell polynomials of the second kind, we obtain a new explicit formula for the generalized Humbert–Hermite polynomials.
Can Kızılateş
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fibonacci number
combinatorics
orthogonal polynomials

discrete mathematics
classical orthogonal polynomials
pure mathematics

mathematical analysis
computer science
physics