Cauchy-Riemann equations

A form of Cauchy-Riemann equation — Given a complex-valued function f and real-valued functions u and v such that f(z) = u(z) + iv(z), either of the equations (∂u)/(∂x)=(∂v)/(∂y) or (∂u)/(∂y)=-(∂v)/(∂x), which together form part of the criteria that f be complex-differentiable.

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Meanings

noun
  1. pluralplural of Cauchy-Riemann equation
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APA

Cauchy-Riemann equations. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Cauchy-Riemann%20equations

MLA

“Cauchy-Riemann equations.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Cauchy-Riemann%20equations. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Cauchy-Riemann equations,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Cauchy-Riemann%20equations.

Source: Cauchy-Riemann equations on Wiktionary, CC BY-SA 4.0.