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1.设区域$D$以复合闭路$C$为边界,函数$f_{1}(z)$和$f_{2}(z)$在闭区域$D+C$上解析,且在$C$上有不等式
$$|f_{1}(z)+f_{2}(z)|<|f_{1}(z)|+|f_{2}(z)|$$
证明: $f_{1}(z)$和$f_{2}(z)$在$C$内零点个数相同,几阶算几个.
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