Definition:Inverse Cotangent/Complex/Arccotangent

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

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

Also see

 * Derivation of Complex Arctangent from Inverse Cotangent Multifunction