讨论了二维无界连通域上反常积分的敛散性.从柯西积分判别法出发,考察了三类特定区域上二元函数的反常积分,利用列维定理,得到了一些新的判别准则.%Discusses the convergence and divergence of improper integrals for multi-variable function on the unbounded connected domains.By using the Cauchy integration criterion, we investigate the improper integral on three special domain.With the help of the Cauchy integration criterion and Levi theorem, new criteria for convergence and divergence are presented.
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