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Conformal Mapping of Circular Multiply Connected Domains Onto Domains with Slits

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Abstract

The conformal mapping of the square with circular disjoint holes onto the square with disjoint slits is constructed. This conformal mapping is considered as a solution of the Riemann–Hilbert problem for a multiply connected domain in a class of double periodic functions. The problem is solved by reduction to a system of functional equations.

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References

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Author information

Authors and Affiliations

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

    Roman Czapla & Vladimir V. Mityushev

Authors
  1. Roman Czapla
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  2. Vladimir V. Mityushev
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Corresponding author

Correspondence to Roman Czapla .

Editor information

Editors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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Czapla, R., Mityushev, V.V. (2017). Conformal Mapping of Circular Multiply Connected Domains Onto Domains with Slits. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_3

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