Monday 26 January 2015

complex analysis - How do I find the real and imaginary part of $z+ e^z $




How can I find the imaginary and real part of $z + e^z$ ?



I tried but I only get $$x + yi + e^x e^{yi}$$


Answer



HINT:



You are on the right track. Note that $e^{iy}=\cos(y)+i\sin(y)$.


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