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A friend of mine told me that for fourier series If the function is odd or even and have its reflection on x-achse after half the period (u(t+T/2)=-u(t)) then one of the coefficient is zero (no problem with this) and the other one is the definition of Fourier coefficient normally but multiplied by 8 and integrated till quarter of the period .

Is this true ?

I asked the question here because I am in holiday now and i don't have anyone other than the Internet to ask

Thanks in advance

doumham
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    If you integrate on a quarter of the period, and the integrand is identical on the four quarters, then you get four times the value, don't you ? –  Aug 21 '17 at 23:58
  • No because the function is multiplied by cosine , which is not repeated four times – doumham Aug 22 '17 at 02:59

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