dickson_add_two — Mathlib

English

For any n, the n+2-th Dickson polynomial satisfies the recurrence: D_{n+2} = X D_{n+1} − C_a D_n.

Русский

Для любого n полином Диксона в шаге n+2 заданы по рекуррентности: D_{n+2} = X D_{n+1} − C_a D_n.

LaTeX

$$$dickson\, k\, a\, (n+2) = X \cdot dickson\, k\, a\, (n+1) - C\, a \cdot dickson\, k\, a\, n$$$

Lean4

@[simp]
theorem dickson_add_two (n : ℕ) : dickson k a (n + 2) = X * dickson k a (n + 1) - C a * dickson k a n := by rw [dickson]

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