What is Holomorphic function?
[[File:Conformal map.svg|thumb|A rectangular grid is mapped onto its image, using a holomorphic function.]] In [[mathematics]] a '''holomorphic function''' is a [[function (mathematics)|function]] that is defined on the [[complex number]]s plane, and that can be differentiated everywhere where it is defined. Differentiating the function again leads to a function defined on the complex numbers. In older literature, these functions are sometimes called ''regular''. Holomorphic functions show a number of properties function defined on [[real number]]s do not have. {{Math-stub}} [[Category:Functions and mappings]] [[Category:Complex analysis]]