On some important properties of bianalytic functions (Q2751194)

The author is interested in function-theoretical properties for bianalytic functions, these are the solutions of the Bitsadze elliptic system \(\partial^2_{\overline z} w=0\). Using a Cauchy type formula (without reference) he shows that higher-order derivatives \(\partial^n_2 w\) exist in a given domain \(G\) and derives Cauchy inequalities for \(|\partial^n_z w|\). An application of both results yields Liouville's theorem for bianalytic functions. The list of references is not up-to-date.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00026].