Fourier coefficients in string theory

  • Thread starter moriheru
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  • #1
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If a function f'(u) has fourier coefficients anμ and bnμ, by integration one can make new coefficients Anμ ,Bnμ which include constants of integration.
My question how can I verify that :

Anμcos nτ + Bnμ sin nτ= -i/2 ((Bnμ) -Anμi) einτ- (Bnμ-iAnμ) e-inτ

I assume this is the complex form of fourier series, but anyway

thanks for any clarifications.
 

Answers and Replies

  • #2
mathman
Science Advisor
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The relationship is purely mathematical.
[itex]e^{ix}=cos(x)+isin(x)[/itex]. Substitute in the right side and you get the left side.
 
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  • #3
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Thanks mathman.
 
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