Find the Hermite Polynomials of order 2, 4 and 6.
Recall that the recurrence relations are given by
We have to evaluate these coefficients for k=2, k=4 and k=6, with initial conditions a0=1, a1=0.
Consequently all even coefficients other than a2 will be zero. Since a1=0, all odd coefficients will be zero, too. Thus
Consequently all even coefficients other than a2 and a4 will be zero. Since a1=0, all odd coefficients will be zero, too. Thus
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