# Cauchy-Riemann equations

From Encyclopedia of Mathematics

The equations that must be satisfied by the real and imaginary parts of a complex-valued function of a complex variable for it to be holomorphic (cf. Analytic function).

See also Cauchy–Riemann conditions.

**How to Cite This Entry:**

Cauchy-Riemann equations.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Cauchy-Riemann_equations&oldid=13933

This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article