Fourier coefficients in string theory

  • Thread starter moriheru
  • Start date
  • #1
272
17
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
8,047
535
The relationship is purely mathematical.
[itex]e^{ix}=cos(x)+isin(x)[/itex]. Substitute in the right side and you get the left side.
 
  • Like
Likes moriheru
  • #3
272
17
Thanks mathman.
 

Related Threads on Fourier coefficients in string theory

  • Last Post
Replies
20
Views
2K
  • Last Post
3
Replies
68
Views
8K
  • Last Post
Replies
4
Views
1K
Replies
5
Views
1K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
5
Views
3K
  • Last Post
Replies
1
Views
962
Replies
1
Views
529
  • Last Post
Replies
2
Views
687
  • Last Post
Replies
3
Views
2K
Top