- #1

- 3

- 0

Show that the Hermite polynomials H2(x) and H3(x) are orthogonal on

x € [-L, L], where L > 0 is a constant,

H2(x) = 4x² - 2 and H3(x) = 8x³ - 12x

Thanks in advance.

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- Thread starter ASIWYFA
- Start date

- #1

- 3

- 0

Show that the Hermite polynomials H2(x) and H3(x) are orthogonal on

x € [-L, L], where L > 0 is a constant,

H2(x) = 4x² - 2 and H3(x) = 8x³ - 12x

Thanks in advance.

- #2

- 22,129

- 3,297

[tex]\int_{-L}^L{(4x^2-2)(8x^3-12x)dx}=0[/tex]

This seems an easy integral...

Or do you consider another inner product??

- #3

- 3

- 0

Yes you are correct. THanks you. I believe I have solved the problem correctly.

- #4

uart

Science Advisor

- 2,784

- 12

So the original question is equivalent to showing that the product of H2 and H3 is an odd function.

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