- #1
doive
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Homework Statement
I have conflicting notes and even textbooks about where i should and shouldn't have factors of 2 when doing Fourier series. I just want to check once and for all I'm doing it right and not introducing erroneous factors of 2 or omitting any
Homework Equations
[tex]
\tilde{f}(x)= \frac{a_0}{2} + \sum^{\inf}_{n=1} [a_n cos(\frac{n \pi x}{L}) + b_n sin(\frac{n\pi x}{L})]
[/tex]
[tex]
a_n = \frac{1}{L} \int^{L}_{-L} cos \frac{n\pi x}{L} f(x) dx
[/tex]
[tex]
b_n = \frac{1}{L} \int^{L}_{-L} sin(\frac{n\pi x}{L}) f(x) dx
[/tex]
[tex]
a_0 = \frac{1}{2L} \int^{L}_{-L} f(x) dx
[/tex]
where the interval is [-L,L] and the period is 2L
The Attempt at a Solution
Is the above formulation correct (i'm particularly unsure about the 1/2L associated with a0)
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