论文标题
在拉伸下非对称无限双连接域的共形模量的渐近模量
Asymptotics of the conformal modulus of a nonsymmetric unbounded doubly-connected domain under stretching
论文作者
论文摘要
我们描述了一个无界双连接域的共形模量的渐近行为,相对于坐标轴非对称,当沿着带有系数$ h \ f to +\ \ suftty $的横肌轴的方向拉伸时。因此,我们对M. vourinen建议的问题给出了部分答案,以任意无限的领域。
We describe the asymptotic behavior of the conformal modulus of an unbounded doubly-connected domain, non-symmetric with respect to the coordinate axes, when stretched in the direction of the abscissa axis with coefficient $H\to +\infty$. Therefore, we give a partial answer to a problem, suggested by M.~Vourinen, for the case of an arbitrary unbounded domain.