Prove Part 2 of Theorem 1.14. That is, prove that for any non-negative integer (k geq 2),

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Prove Part 2 of Theorem 1.14. That is, prove that for any non-negative integer \(k \geq 2\),

\[H_{k}(x)=x H_{k-1}(x)-(k-1) H_{k-2}(x) .\]

The simplest approach is to use Definition 1.6.

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