Cauchy-Riemann equations

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf mathematical equations
gptkbp:appliesTo functions of a complex variable
gptkbp:category partial differential equations
complex function theory
gptkbp:describes conditions for differentiability of complex functions
gptkbp:expressedIn ∂u/∂x = ∂v/∂y
∂u/∂y = -∂v/∂x
gptkbp:field complex analysis
gptkbp:firstPublished 19th century
gptkbp:form partial differential equations
https://www.w3.org/2000/01/rdf-schema#label Cauchy-Riemann equations
gptkbp:implies holomorphicity
gptkbp:namedAfter gptkb:Augustin-Louis_Cauchy
gptkb:Bernhard_Riemann
gptkbp:usedIn analytic functions
gptkbp:bfsParent gptkb:Théorie_des_fonctions_analytiques
gptkb:Komplexe_Analysis
gptkbp:bfsLayer 6