Dbar equation (source code)

= Dbar equation
{title2=$\partial_{\bar z}F=q$}

A prescribed inhomogeneous <Wirtinger derivative> equation. The distributional identity $\partial_{\bar z}(1/(\pi z))=\delta_0$ gives its whole-plane right inverse through the <Cauchy-Green operator>. Boundary or decay conditions select a solution from the freedom to add a <holomorphic function>.