A New Method of Solving the Analytic Function in a KnownHarmonic Functions

Using uniqueness theorem of analytic function, based on the situation under different conditions of the simply-connected region, several kinds of new methods for solving the analytic function in a known harmonic functions respectively are obtained, and a strict proof of the new methods are put forth. Finally, some applications of the new method are also supplied. Practice shows that these new methods are simple and feasible.