= Complex analytic representation of biharmonic functions
{title2=$U=\operatorname{Re}(\bar zH(z)+G(z))$}
If $H,G$ are <holomorphic functions>, both real and imaginary parts of $\bar zH(z)+G(z)$ solve the <biharmonic equation>. In <Wirtinger derivatives>, $\Delta=4\partial_z\partial_{\bar z}$, so $\Delta(\bar zH+G)=4H'$ is <harmonic> and its next <Laplacian> is zero. This construction gives local representations of planar solutions of the <biharmonic equation>; it is useful for the <biharmonic stream function for planar Stokes flow>.
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