Asymptotics of the Conformal Modulus of a Nonsymmetric Unbounded Doubly-Connected Domain Under Stretching

We describe the asymptotic behavior of conformal modulus an unbounded doubly-connected domain, non-symmetric with respect to coordinate axes, when stretched in direction abscissa axis coefficient $$H\to+\infty$$ . Therefore, we give a partial answer problem, suggested by M. Vourinen, for case arbitrary domain.