Complex analysis texts typically discuss analytic functions whose real and imaginary components are harmonic and satisfy the Laplace equation, $\nabla^2 f = 0$.
I am working with a complex function whose real and imaginary components satisfy the biharmonic equation instead, i.e. $\nabla^4 f= 0$. Thus far I have not been able to find very many resources and was wondering if anyone could point me towards any good books or papers covering this topic.