Cauchy–Riemann equations
id:
cauchy-riemann-equations-165-609124
title:
Cauchy–Riemann equations
text:
In the field of complex analysis in mathematics, the Cauchy–Riemann equations, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which form a necessary and sufficient condition for a complex function of a complex variable to be complex differentiable. These equations are and where u(x, y) and v(x, y) are real differentiable bivariate functions. Typically, u and v are respectively the real and imaginary parts of a complex-valued function f
brand slug:
wiki
category slug:
encyclopedia
description:
Chacteristic property of holomorphic functions
original url:
https://en.wikipedia.org/wiki/Cauchy%E2%80%93Riemann_equations
date created:
2001-12-27T23:31:32Z
date modified:
2024-08-29T16:03:48Z
main entity:
{"identifier":"Q622741","url":"https://www.wikidata.org/entity/Q622741"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/bf/Cauchy-Riemann.svg","width":744,"height":531}
fields total:
13
integrity:
16