engleski

Decomposition of a recursive family of polynomials

We describe decomposition of polynomials f_n:=f_{; ; n, B, a}; ; defined by f_{; ; 0}; ; :=B, f_{; ; 1}; ; (x):=x, f_{; ; n+1}; ; (x) = xf_{; ; n}; ; (x) - af_{; ; n-1}; ; (x) where B and a are rational numbers. We also present an application to related Diophantine equations.

polynomials; decomposition; Dickson polynomials

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