  The method of reduction of a Fredholm integral equation to the linear system
is generalized to construction of a complex potential --- an analytic function
in an infinite multiply connected domain with a simple pole at infinity which
maps the domain onto a plane with horizontal slits. We consider a locally
sourceless, locally irrotational flow on an arbitrary given $n$-connected
infinite domain with impermeable boundary. The complex potential has the form
of a Cauchy integral with one linear and $n$ logarithmic summands. The method
is easily computable.
