Abstract
In this article we obtain sufficient conditions for the univalence of n-symmetric analytic functions in the region ¦ζ¦>−1 and in the disk ¦ζ¦<−1. We examine the question of univalent variation of functions analytic in ¦ζ¦<−1 and mapping ¦ζ¦=1 onto a contour with two zero angles. We give an application of these results to the fundamental converse boundary-value problems.
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