- #1
Domnu
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Problem
We have the function [tex]g(x)=x(x-a) \cdot e^{ikx}[/tex]. Express [tex]g(x)[/tex] in the form
[tex]\sum_{n=1}^\infty a_n \psi_n (x)[/tex]
where
[tex]\psi_n = \sqrt{\frac{2}{a}} \sin \(\frac{n\pi x}{a}\)[/tex]
Solution
I have absolutely no clue as to how to start... I know a bit about Fourier series, but here, the function [tex]g(x)[/tex] has an infinite period.
We have the function [tex]g(x)=x(x-a) \cdot e^{ikx}[/tex]. Express [tex]g(x)[/tex] in the form
[tex]\sum_{n=1}^\infty a_n \psi_n (x)[/tex]
where
[tex]\psi_n = \sqrt{\frac{2}{a}} \sin \(\frac{n\pi x}{a}\)[/tex]
Solution
I have absolutely no clue as to how to start... I know a bit about Fourier series, but here, the function [tex]g(x)[/tex] has an infinite period.