Transforming Complex Fourier Series to Real - Help Guide

AkilMAI
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How can I transform a complex Fourier series into a real one in general?
If for example I have the complex Fourier series for K=2m+1
(\frac{1}{2}+\frac{2}{i\pi})\sum\frac{1}{2m+1}e^{i(2m+1)t}
what shoudl I do to transform it into a series with real coeff?
 
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