+A [Holomorphic function](/wiki/holomorphic_function) is a complex-valued function defined on an open subset of the [complex plane](/wiki/complex_plane) that is complex-differentiable at every point. This elegant property implies it is infinitely differentiable and can be locally represented by a convergent [power series](/wiki/power_series), revealing a deep connection between differentiability and analyticity in complex analysis.
+## See also
+- [Complex Analysis](/wiki/complex_analysis)
+- [Analytic Function](/wiki/analytic_function)
+- [Cauchy Riemann Equations](/wiki/cauchy_riemann_equations)