Antiholomorphic function
In mathematics, antiholomorphic functions (also called antianalytic functions) are a family of functions closely related to but distinct from holomorphic functions. A function of the complex variable z {\displaystyle z} defined on an open set in the complex plane is said to be antiholomorphic if its derivative with respect to z ¯ {\displaystyle {\bar {z}}} exists in the neighbourhood of each and every point in that set, where z ¯ {\displaystyle {\bar {z}}} is the complex conjugate of z {\displaystyle z} .