Fourier Series formula

Peter Kerman Favant
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f (x) = a_{0} + \sum_{n = 1}^{\infty} a_{n} \cos (nx \frac{π}{L}) + \sum_{n = 1}^{\infty} b_{n} \sin (nx \frac{π}{L})

Harmonics of a plucked or struck string
are integer divisions of its length