Cauchy-Riemann equations

American  

[koh-shee-ree-mahn, koh-shee-] / ˈkoʊ ʃiˈri mɑn, koʊˈʃi- /

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.

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Etymology

Origin of Cauchy-Riemann equations

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