In my third year math class we were asked a question to prove that Ho(X) and H1(x) are orthogonal to H2(x), with respect to the weight function e^(-x^2) over the interval negative to positive infinity(adsbygoogle = window.adsbygoogle || []).push({});

where Ho(x) = 1

H1(x) = 2x

H2(x) = (4x^2) - 2

i know that i have to multiply Ho(x) by H2(x) and divide by the weight function and integrate..but i get lost when it comes to integrating by parts with e^(x^2)...

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# Orthogonal Polynomials

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