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We consider simply connected polygonal subdomains of half-plane type having countable many vertices; in addition, they possess the symmetry of transfer along the real axis by 2π and the symmetry with respect to the vertical straight line w = π + iv, v ∈ ℝ. We establish that conformal mapping of the half-plane onto such domains are represented by integrals of Schwarz-Christoffel type. The proof is...
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