On the Search for Parameters of a Conformal Mapping from a Half-Plane to a Circular Polygon

The problem of constructing a conformal mapping from the upper half-plane to circular polygon is considered. preimages vertices and accessory parameters are determined by generalized method P. Kufarev for determining in Christoffel–Schwarz integral. based on Loewner equation with boundary normalization. onto exterior consisting straight-line segments solved separately. Examples mappings whose found given.