Definition:Inverse Cotangent/Complex/Arccotangent

Definition
The principal branch of the complex inverse cotangent function is defined as:
 * $\operatorname{arccot} \left({z}\right) := \dfrac 1 {2 i} \operatorname{Ln} \left({\dfrac {z + i} {z - i}}\right)$

where $\operatorname{Ln}$ denotes the principal branch of the complex natural logarithm.

Also see

 * Derivation of Complex Arctangent from Inverse Cotangent Multifunction