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 <math>z</math> defined on an open set in the complex plane is said to be antiholomorphic if its derivative with respect to <math>\bar z</math> exists in the neighbourhood of each and every point in that set, where <math>\bar z</math> is the complex conjugate of <math>z</math>.
A definition of antiholomorphic function follows: