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Using the physicist's Hermite-polynomial recurrence H_{n+1}(u) = 2u*H_n(u) - 2n*H_{n-1}(u) starting from H_0(u) = 1 and H_1(u) = 2u, what is H_2(u)?
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2u^2 - 1
4u^2 + 2
4u^2 - 2
8u^3 - 12u
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