If a function f'(u) has fourier coefficients a(adsbygoogle = window.adsbygoogle || []).push({}); _{n}^{μ}and b_{n}^{μ}, by integration one can make new coefficients A_{n}^{μ},B_{n}^{μ}which include constants of integration.

My question how can I verify that :

A_{n}^{μ}cos nτ + B_{n}^{μ}sin nτ= -i/2 ((B_{n}^{μ}) -A_{n}^{μ}i) e^{inτ}- (B_{n}^{μ}-iA_{n}^{μ}) e^{-inτ}

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

thanks for any clarifications.

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# Fourier coefficients in string theory

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