Abstract
We derive a Schwarz-Christoffel formula for the conformal mapping of an arbitrary n-connected domain D bounded by mutually disjoint circles ¦z − a k¦ = rk, k = 1,2,…,n, onto the exterior of mutually disjoint polygons. The derivation is based on the exact solution to a Riemann-Hilbert problem for D without any geometric restriction imposed upon the location of the non-overlapping disks ¦z − ak¦ ≤ rk.
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