Fibonacci polynomials information

mathematics, the Fibonacci polynomials are a polynomial sequence which can be considered as a generalization of the Fibonacci numbers. The polynomials generated...

mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are...

golden ratio, Zeckendorf representations, Binet forms, Fibonacci polynomials, and Chebyshev polynomials. However, many other topics, especially as related...

Ehrhart polynomial Exponential polynomials Favard's theorem Fibonacci polynomials Gegenbauer polynomials Hahn polynomials Hall–Littlewood polynomials Heat...

The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions, notated as T n ( x ) {\displaystyle T_{n}(x)} and...

Brahmagupta–Fibonacci identity Fibonacci coding Fibonacci cube Fibonacci heap Fibonacci polynomials Fibonacci prime Fibonacci pseudoprime Fibonacci quasicrystal...

calculations of pentagons and decagons; his writings influenced that of Fibonacci (Leonardo of Pisa) (c. 1170–1250), who used the ratio in related geometry...

All-one polynomials Abel polynomials Bell polynomials Bernoulli polynomials Cyclotomic polynomials Dickson polynomials Fibonacci polynomials Lagrange...

way as Fibonacci polynomials are derived from the Fibonacci numbers, the Lucas polynomials L n ( x ) {\displaystyle L_{n}(x)} are a polynomial sequence...

In mathematics, the Fibonacci numbers form a sequence defined recursively by: F n = { 0 n = 0 1 n = 1 F n − 1 + F n − 2 n > 1 {\displaystyle...

A Lagged Fibonacci generator (LFG or sometimes LFib) is an example of a pseudorandom number generator. This class of random number generator is aimed...

−1) : Fibonacci polynomials Vn(x, −1) : Lucas polynomials Un(2x, 1) : Chebyshev polynomials of second kind Vn(2x, 1) : Chebyshev polynomials of first...

above, Dickson polynomials are Lucas sequences. Specifically, for α = −1, the Dickson polynomials of the first kind are Fibonacci polynomials, and Dickson...

It is one of several graph polynomials studied in algebraic graph theory. Several different types of matching polynomials have been defined. Let G be...

conditions hold: 2p−1 ≡ 1 (mod p), f(1)p+1 ≡ 0 (mod p), f(x)k is the k-th Fibonacci polynomial at x. Selfridge, Carl Pomerance, and Samuel Wagstaff together offer...

Lucas pseudoprimes and Fibonacci pseudoprimes are composite integers that pass certain tests which all primes and very few composite numbers pass: in...

defined with respect to polynomials of degree at least 2, but they have been most extensively studied in the case of quadratic polynomials. The definition of...

Brahmagupta polynomials are a class of polynomials associated with the Brahmagupa matrix which in turn is associated with the Brahmagupta's identity. The...

algorithm for Egyptian fractions is a greedy algorithm, first described by Fibonacci, for transforming rational numbers into Egyptian fractions. An Egyptian...

of real cubic polynomials. It is not locally connected. This property is inherited by the connectedness locus of real cubic polynomials. Another non-analytic...

C. T. (1973). "Divisibility properties of generalized Fibonacci polynomials" (PDF). Fibonacci Quarterly: 113. Bézivin, J.-P.; Pethö, A.; van der Porten...

Holonomic sequences Iterated function Orthogonal polynomials Recursion Recursion (computer science) Lagged Fibonacci generator Master theorem (analysis of algorithms)...

Gaussian binomial coefficients (also called Gaussian coefficients, Gaussian polynomials, or q-binomial coefficients) are q-analogs of the binomial coefficients...

} In a similar way to the Fibonacci numbers that can be generalized to a set of polynomials called the Fibonacci polynomials, the Padovan sequence numbers...

"The Tutte polynomial", Aequationes Mathematicae, 3 (3): 211–229, doi:10.1007/bf01817442. Farr, Graham E. (2007), "Tutte-Whitney polynomials: some history...