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Symbolic Computation of Conformal Mappings onto Slit Domains

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Current Trends in Analysis and Its Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

A present paper, the symbolic implementation of conformal mappings of arbitrary circular multiply connected domains onto the complex plane with slits of prescribed inclinations is applied to examine of distribution of lengths of slits.

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References

  1. D. Czapla, V. Mityushev, N. Rylko, Conformal mapping of circular multiply connected domains onto slit domains. Electron. Trans. Numer. Anal. 39, 286–297 (2012)

    MATH  MathSciNet  Google Scholar 

  2. D. Czapla, V. Mityushev, W. Nawalaniec, Effective conductivity of random two-dimensional composites with circular non-overlapping inclusions. Comput. Mater. Sci. 63, 118–126 (2012)

    Article  Google Scholar 

  3. G.M. Golusin, Geometric Theory of Functions of a Complex Variable (Am. Math. Soc., Providence, 1969)

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  4. V.V. Mityushev, S.V. Rogosin, Constructive Methods for Linear and Non-linear Boundary Value Problems of the Analytic Function. Theory and Applications (Chapman & Hall/CRC Press, Boca Raton, 2000)

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  5. V.V. Mityushev, Riemann–Hilbert problems for multiply connected domains and circular slit maps. Comput. Methods Funct. Theory 11, 575–590 (2011)

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  6. N.I. Vekua, Generalized Analytic Functions (Pergamon, London, 1992)

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  7. R. Wegmann, Methods for numerical conformal mapping, in Handbook of Complex Analysis: Geometric Function Theory (Elsevier/North-Holland, Amsterdam, 2005), pp. 351–477

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Author information

Authors and Affiliations

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

    Roman Czapla

Authors
  1. Roman Czapla
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Correspondence to Roman Czapla .

Editor information

Editors and Affiliations

  1. Dept. of Computer Sc. & Comp. Methods, Pedagogical University, Kraków, Poland

    Vladimir V. Mityushev

  2. Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

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Czapla, R. (2015). Symbolic Computation of Conformal Mappings onto Slit Domains. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_85

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