Category:Examples of Complex Natural Logarithms
Jump to navigation
Jump to search
This category contains examples of Complex Natural Logarithm.
Let $z = r e^{i \theta}$ be a complex number expressed in exponential form such that $z \ne 0$.
The complex natural logarithm of $z \in \C_{\ne 0}$ is the multifunction defined as:
- $\map \ln z := \set {\map \ln r + i \paren {\theta + 2 k \pi}: k \in \Z}$
where $\map \ln r$ is the natural logarithm of the (strictly) positive real number $r$.
Pages in category "Examples of Complex Natural Logarithms"
The following 5 pages are in this category, out of 5 total.