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Riemann-Hilbert Problems for Multiply Connected Domains and Circular Slit Maps

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Abstract

A conformal mapping of a multiply connected circular domain onto a complex plane with circular slits is obtained. No restriction on the location of the boundary circles is assumed. The mapping is derived in terms of the uniformly convergent Poincaré series by solution to a Riemann-Hilbert boundary value problem.

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Authors and Affiliations

  1. Department of Computer Sciences and Computer Methods, Pedagogical University Krakow, ul. Podcharazych 2, Krakow, 30-084, Poland

    Vladimir Mityushev

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  1. Vladimir Mityushev
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Correspondence to Vladimir Mityushev.

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Mityushev, V. Riemann-Hilbert Problems for Multiply Connected Domains and Circular Slit Maps. Comput. Methods Funct. Theory 11, 575–590 (2012). https://doi.org/10.1007/BF03321876

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  • DOI: https://doi.org/10.1007/BF03321876

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