how do I calculate the first three Hermite Polynomials ?
ive got to the point where i am integrating
1 and 2x and the weighting function e^x^-2 (sori i dont know how to use LaTex) between the intervals infinity and minus infinity but i dont understand how the integral equals to zero if the intervals do not have a value. i have integrated the polynomials and i got -e^x^-2, hope you understand thanks
[LEFT]The Actual Question
Using the definition of orthogonality, verify that the polynomials found in 1.(i.e. [FONT=CMR12])are mutually
orthogonal. You may use the following integrals without proof
i think my actual problem is that i missed the class on this topic and i am totally confused, the book i am using is showing me a different way to do it, if you could please explain in a very simple way, thanks