利用解析函数的唯一性定理，针对不同情况下的单连通区域的情形，分别得到了几种已知调和函数求解析函数的新方法，并对这些新方法给与了严格的证明。最后，给出了新方法的应用。实践表明，这些新方法是简捷可行的。%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.
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