Abstract
As a generalization of the well-known Christoffel-Schwartz formula, a formula is obtained for mapping the interior of the unit disk onto a domain whose boundary consists of n arcs of curves, each of which, under the choice of some branch of the transformation ζ=wm, m>0, passes through a rectilinear segment of the ζ-plane. It is shown that the class Bm of Bazilevich functions coincides with the class ¯Lm of functions representable by means of the obtained formula of the special type.
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