Fibonacci polynomials

Fibonacci polynomials

In mathematics, the Fibonacci polynomials are a polynomial sequence which can be considered as a generalization of the Fibonacci numbers. The polynomials generated in a similar way from the Lucas numbers are called Lucas polynomials.

Comment
enIn mathematics, the Fibonacci polynomials are a polynomial sequence which can be considered as a generalization of the Fibonacci numbers. The polynomials generated in a similar way from the Lucas numbers are called Lucas polynomials.
Depiction
PascalTriangleFibanacci.svg
First
enAndreas N.
Formalname
enTriangle of coefficients of polynomials defined by Binet form: P = /d, where U=/2, L=/2, d=^
enTriangle of numbers {C, n >= 0, 0 <= k <= floor}; or, triangle of coefficients of Fibonacci polynomials
Has abstract
enIn mathematics, the Fibonacci polynomials are a polynomial sequence which can be considered as a generalization of the Fibonacci numbers. The polynomials generated in a similar way from the Lucas numbers are called Lucas polynomials.
Hypernym
Sequence
Id
enFibonacci_polynomials&oldid=14185
enLucas_polynomials&oldid=17297
Is primary topic of
Fibonacci polynomials
Label
enFibonacci polynomials
Last
enPhilippou
Link from a Wikipage to an external page
archive.org/details/proofsthatreally0000benj/page/141
doi.org/10.1186/s13662-018-1527-9
Link from a Wikipage to another Wikipage
Category:Fibonacci numbers
Category:Polynomials
Chebyshev polynomials
Composition (number theory)
Domino
Fibonacci number
Fibonacci Quarterly
File:PascalTriangleFibanacci.svg
Generating function
Imaginary unit
Lucas numbers
Lucas sequence
Mathematical Association of America
Mathematics
Orthogonal polynomials
Pascal's triangle
Pell numbers
Polynomial
Polynomial sequence
Recurrence relation
Name
enTriangle of coefficients of Fibonacci polynomials
enTriangle of coefficients of polynomials defined by Binet form
SameAs
578Hf
Fibonaccijevi polinomi
Fibonaccijevi polinomi
Fibonaccipolynom
Fibonacci polynomials
Fibonaĉi-polinomoj
m.02f bs
Polinomi di Fibonacci
Polinomios de Fibonacci
Polynôme de Fibonacci
Q974295
Фибоначијеви полиноми
พหุนามฟีโบนัชชี
フィボナッチ多項式
Sequencenumber
enA011973
enA162515
Subject
Category:Fibonacci numbers
Category:Polynomials
Thumbnail
PascalTriangleFibanacci.svg?width=300
Title
enFibonacci polynomials
enLucas Polynomial
enLucas polynomials
Urlname
enLucasPolynomial
WasDerivedFrom
Fibonacci polynomials?oldid=1106026317&ns=0
WikiPageLength
8342
Wikipage page ID
483720
Wikipage revision ID
1106026317
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