Exponential Function (eˣ) ○◂｜appendage｜___｜20260628174208-01-•

Exponential	…
Graph of the exponential function	…
General information	…
General definition	$\exp z=e^z$
Domain, codomain and image	…
Domain	$\mathbb{C}$
Image	$\{\begin{array}{ll}(0,\infty )& \text{for }z\in \mathbb{R}\\ \mathbb{C}\setminus \{0\}& \text{for }z\in \mathbb{C}\end{array}$
Specific values	…
At zero	1
Value at 1	e
Specific features	…
Fixed point	−W${}_n$(−1) for $n\in \mathbb{Z}$
Related functions	…
Reciprocal	$\exp (-z)$
Inverse	Natural logarithm, Complex logarithm
Derivative	$\frac{\mathrm{d}}{\mathrm{d}z}\exp z=\exp z$
Antiderivative	$\int \exp zdz=\exp z+C$
Series definition	…
Taylor series	$\exp z=\sum _{n=0}^{\infty }\frac{z^n}{n!}$

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