Expressing $e^{e^i}$ in the form $a+bi$
5032
Compute $e^{e^z}$, where z is a complex number
47313
What is $i^i$ and $(i^i)^i$
85311
Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator
40837
Why $e^{i(π/3)} \ne -1$?
39270
Showing that $e^x > 1+x$
28109
Conjectural closed-form representations of sums, products or integrals
110343
Integrating $\rm x^ae^{-bx}$.
62878
Expressing polar complex numbers in cartesian form
55018
Prove that $A^*A + I$ is invertible
96251
transforming ordinary generating function into exponential generating function
103536
How to prove $|e^{i\theta} - 1| \leq |\theta|$?
482
Express $1 + \frac {1}{2} \binom{n}{1} + \frac {1}{3} \binom{n}{2} + \dotsb + \frac{1}{n + 1}\binom{n}{n}$ in a simplifed form
138342
Proof of a matrix exponential identity
57660
Biliniear form to inner product
54294
Can the product $AB$ be computed using only $+, -,$ and reciprocal operators?
57659
Evaluate $\int_{\left | z \right |=3} (e^{z}-1)dz/(z(z-1)(z-i))$
122481
proof of an identity for exponential function