Cauchy-Riemann equations

[ koh-shee-ree-mahn, koh-shee- ]

plural noun

, Mathematics.

1. equations relating the partial derivatives of the real and imaginary parts of an analytic function of a complex variable, as f ( z ) = u ( x,y ) + iv ( x,y ), by δ u /δ x = δ v /δ y and δ u /δ y = −δ v /δ x.

Word History and Origins

Origin of Cauchy-Riemann equations¹

Named after A. L. Cauchy and G. F. B. Riemann