Fourier sine and cosine series
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In this article f denotes a real valued function on which is periodic with period 2L.
If f(x) is an odd function, then the Fourier sine series of f is defined to be
If f(x) is an even function, then the Fourier cosine series is defined to be
This notion can be generalized to functions which are not even or odd, but then the above formulas will look different.